Select the option that is related to the fifth number in the same way as the fourth number is related to the third number and the second number is related to the first number.
76 : 69 :: 49 : 45 :: 69 : ?

The correct option is 63.

To find the missing number, let us analyze the pattern established by the given pairs of numbers:

First pair (76 : 69):
The first number is 76. The tens digit of this number is 7.
Subtracting the tens digit from the number itself gives:
$76-7=69$

Second pair (49 : 45):
The third number is 49. The tens digit of this number is 4.
Subtracting the tens digit from the number itself gives:
$49-4=45$

Third pair (69 : ?):
Following the same rule, the fifth number is 69. The tens digit of this number is 6.
Subtracting the tens digit from the number itself gives:
$69-6=63$

Therefore, the missing number is 63.