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Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion. (a) 25 cm:1 m and Rs. 40 : Rs. 160

Q. 4.     Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.

            (a) 25\; cm:1\; m\; and\; Rs.40:Rs.160

            (b) 39 litres : 65 litres and 6 bottles :10 bottles

            (c) 2\; kg:80\; kg\; and\; 25\; g:625\; g

            (d) 200\; mL:2.5\; litre\; and\; Rs.4:Rs.50

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 (a) 25\; cm:1\; m\; and\; Rs.40:Rs.160

            \frac{25}{100}=\frac{1}{4}...........(1)

          \frac{40}{160}=\frac{1}{4}...........(2)

As we can see (1) and (2) are equal, they are in proportion.

Middle Terms: 1 m and Rs 40 

Extreme Terms: 25 cm and Rs 160.

(b) 39 litres: litres and 6 bottles :10 bottles

            

          \frac{39}{65}=\frac{3}{5}...........(1)

          \frac{6}{10}=\frac{3}{5}...........(2)

As we can see (1) and (2) are equal, they are in proportion.

Middle Terms: 65 litres and 6 bottles

Extreme Terms: 39 litres and 10 bottles.

(c) 2\; kg:80\; kg\; and\; 25\; g:625\; g

            

            \frac{2}{80}=\frac{1}{40}...........(1)

          \frac{25}{626}=\frac{1}{25}...........(2)

As we can see (1) and (2) are not equal, they are not in proportion.

 

(d) 200\; mL:2.5\; litre\; and\; Rs.4:Rs.50

           \frac{200}{2500}=\frac{2}{25}...........(1)

          \frac{4}{50}=\frac{2}{50}...........(2)

As we can see (1) and (2) are equal, they are in proportion.

Middle Terms: 2.5 litres and Rs 4

Extreme Terms:200 mL and Rs 50.

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