If $\frac{1}{2}: x:: x: \frac{1}{8}$, find the positive value of x.
Answer & explanation
Correct answer: option 3
⇒ \(\frac{1}{2}\) : x :: x : \(\frac{1}{8}\)
⇒ \( { x}^{2 } \) = \(\frac{1}{2}\) x \(\frac{1}{8}\)
⇒ \( { x}^{2 } \) = \(\frac{1}{16}\)
⇒ x = \(\frac{1}{4}\)