Question

Find the value of x in this equivalent ratio:
x : 16 : : 57 : 114

• A. 8
• B. 16
• C. 9
• D. 10

Answer 1

The correct option is A 8

Write the given proportion x : 16 : : 57 : 114 in this format:
$\Rightarrow \frac{\text{x}}{16}=\frac{57}{114}$
By cross-multiplication, we get

$\Rightarrow \text{x}\times 114=57\times 16$
$\Rightarrow \text{x}\times 2\times 57=57\times 16$
$\Rightarrow \text{x}=\frac{16}{2}=8$
Hence, value of $\text{x}$ is 8.