72 is related to 96 following a certain logic. Following the same logic, 66 is related to 88. Which of the following numbers is related to 104 using the same logic?
(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding / subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)

The correct answer is Option 78.

Let us analyze the logical relationship between the given pairs of numbers.

First pair: 72 and 96
We can express the ratio between 72 and 96 by simplifying the fraction:

$\frac{72}{96}=\frac{3}{4}$

Alternatively, if we divide 72 by 3, we get 24. Multiplying 24 by 4 gives 96.

$72=24\times 3$

$96=24\times 4$

Second pair: 66 and 88
Using the same ratio logic:

$\frac{66}{88}=\frac{3}{4}$

Dividing 66 by 3 gives 22. Multiplying 22 by 4 gives 88.

$66=22\times 3$

$88=22\times 4$

Finding the required number:
Let the unknown number related to 104 be $x$.
Following the same logic, the ratio of $x$ to 104 must be equal to 3 : 4.

$\frac{x}{104}=\frac{3}{4}$

Now, solve for $x$:

$x=\frac{3\times 104}{4}$

$104÷4=26$

$x=3\times 26=78$

Thus, 78 is related to 104 following the same logic.