# Q. 1.     Determine if the following are in proportion.             (a)  $15,45,40,120$             (b)  $33,121,9,96$             (c)  $24,28,36,48$             (d)  $32,48,70,210$             (e)  $4,6,8,12$             (f)  $33,44,75,100$

P Pankaj Sanodiya

(a)  $15,45,40,120$

$\frac{15}{45}=\frac{1}{3}........(1)$

$\frac{40}{120}=\frac{1}{3}........(2)$

Since (1) and (2) are equal, Yes they are in proportion.

(b)  $33,121,9,96$

$\frac{33}{121}=\frac{3}{11}........(1)$

$\frac{9}{96}=\frac{3}{32}........(2)$

Since (1) and (2) are not equal, No they are not in proportion.

(c)  $24,28,36,48$

$\frac{24}{28}=\frac{6}{7}........(1)$

$\frac{36}{48}=\frac{3}{4}........(2)$

Since (1) and (2) are not equal, No they are not in proportion.

(d)  $32,48,70,210$

$\frac{32}{48}=\frac{2}{3}........(1)$

$\frac{70}{210}=\frac{1}{3}........(2)$

Since (1) and (2) are not equal, No they are not in proportion.

(e)  $4,6,8,12$

$\frac{4}{6}=\frac{2}{3}........(1)$

$\frac{8}{12}=\frac{2}{3}........(2)$

Since (1) and (2) are equal, Yes they are in proportion.

(f)  $33,44,75,100$

$\frac{33}{44}=\frac{3}{4}........(1)$

$\frac{75}{100}=\frac{3}{4}........(2)$

Since (1) and (2) are equal, Yes they are in proportion.

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