Discussion Forum

If $\left(\frac{1}{5}\right):\left(\frac{1}{x}\right)$ $=\left(\frac{1}{x}\right):\left(\frac{100}{125}\right)$, then the value of $x$ is :

Answer:

Explanation:

$\frac{1}{5}:\frac{1}{x}$ $= \frac{1}{x} :\frac{100}{125}$

$\Rightarrow\left(\frac{1}{x}\times\frac{1}{x}\right)$

$=\left(\frac{1}{5} \times \frac{100}{125}\right)$ $=\frac{4}{25}$

$ =\frac{1}{x^{2}}$

$x^{2}=\frac{25}{4}$

$x=\frac{5}{2}$ $=2.5$