Question : The first, third and fourth terms of a proportion are 8, 16, and 6 respectively. What is the second term?
Option 1: 3
Option 2: 6
Option 3: 8
Option 4: 12
Correct Answer: 3
Solution :
Given: The first, third and fourth terms of a proportion are 8,16 and 6 respectively.
Let the second term be $x$.
According to the question,
$8:x::16:6$
⇒ $\frac{8}{x}=\frac{16}{6}$
⇒ $16x=48$
⇒ $x=3$
So, the second term is 3.
Hence, the correct answer is 3.
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