The length of the side marked with the variable x is 49.9 inches.
The triangle shown in the image is a right triangle, with a hypotenuse of 67 and one leg of 34. We can use the Pythagorean Theorem to solve for the length of the missing leg, which is marked with the variable x:

= 3651 - 1156
= 2495
x = √2495
x = 49.9
Therefore, the length of the side marked with the variable x is 49.9 inches.