Answer:
x is (a) 125.
Explanation:
We can solve this proportion by using the property that the ratios of two equal proportions are equal. In other words:
a : b :: c : d if and only if a/b = c/d
Using this property, we can set up the proportion:
26 : 48 :: 82 : x
where x is the unknown term we want to find.
To solve for x, we can cross-multiply the terms in the proportion:
26 * x = 48 * 82
Simplifying the right side of the equation:
26 * x = 3936
Dividing both sides of the equation by 26:
x = 3936/26
x = 152
Therefore, the value of x is 152. However, 152 is not one of the answer choices provided. To choose the closest answer choice, we can round 152 to the nearest value among the answer choices. Rounding 152 to the nearest value, we get:
125: 27 less than 152
122: 30 less than 152
115: 37 less than 152
120: 32 less than 152
The closest value to 152 is 150, which is between 122 and 125. Therefore, the answer closest to the value of x is (a) 125.