The sum of the second and fourth of four consecutive integers is 110

The integers:    53, 54, 55, 56

Step-by-step explanation:

Consecutive integers increase by 1, so if x is the smallest one, then the numbers are:

                      x,  x+1,  x+2,  x+3

the sum of the second and fourth: x+1 + x+3 = 2x+4

so:   2x + 4 = 110  ⇒  2x = 106   ⇒   x = 53

So the integers we are looking for:

                                                           53, 54, 55, 56