Determine if the 15, 45, 40, 120 are in proportion. - Vidyadip

Question

Determine if the $15, 45, 40, 120$ are in proportion.

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Answer

$15 : 45$ $=\frac{15}{45}=\frac{15 \div 15}{45 \div 15}$[$\therefore$$H.C.F.(15, 45) = 15]$
$=\frac{1}{3}$ $= 1 : 3$
$40 : 120$ $=\frac{40}{120}=\frac{40 \div 40}{120 \div 40}$[$\therefore$$H.C.F.(40, 120) = 40]$
$=\frac{1}{3}$ $= 1 : 3$
$\because$ $15 : 45 = 40 : 120$
$\therefore$ $15, 45, 40, 120$ are in proportion.

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