Select the related word/letters/numbers from the given alternatives:
8 : 32 : : ? : 108
27
This question tests your ability to identify number patterns and analogies. The analogy is presented as 8 : 32 :: ? : 108. This can be read as "8 is to 32 as what is to 108?".
Let's analyze the relationship between 8 and 32. Notice that \(32 = 8 \times 4\).
Now let's apply this same relationship to find the missing number. We need to find a number that, when multiplied by 4, equals 108. To solve for the unknown, we can set up the equation:
\(x \times 4 = 108\)
Solving for \(x\):
\(x = \frac{108}{4} = 27\)
Therefore, the missing number is 27. The complete analogy is 8 : 32 :: 27 : 108.
Hence, the correct answer is 27.
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