Question
If in a proportion, the first, second and fourth terms are 32, 112 and 217 respectively, find the third term.

Answer

$\frac{32}{112}=\frac{\text{x}}{217}$
By cross multiplication we get,
$\Rightarrow32(217)=\text{x}(112)$
$\Rightarrow\frac{32(217)}{16}=\frac{\text{x}(112)}{16}$
$\Rightarrow2(217)=7\text{x}$
$\Rightarrow\frac{2(217)}{7}=\frac{7\text{x}}{7}$
$\Rightarrow\text{x}=2(31)$
$\Rightarrow\text{x}=62$

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