Find the value of $x$ if $x$:92 :: 87:116

The correct answer is 69

As $x$:92 :: 87:116,
$\dfrac{x}{92}$ = $\dfrac{87}{116}$

⇒ $\dfrac{x}{92}$ = $\dfrac{3}{4}$

∴ $x$ = $\dfrac{92 × 3}{4}$ = 69

Hence $x$ = 69.