Complete the pattern: 120, 96, 76.8, 61.44, ?

The correct answer is 49.152.

To find the missing number in the sequence, let us analyze the pattern between consecutive terms:

1st term = 120
2nd term = 96
3rd term = 76.8
4th term = 61.44

Let us determine the ratio between consecutive numbers by dividing each term by its preceding term:

$\frac{96}{120}=0.8$

$\frac{76.8}{96}=0.8$

$\frac{61.44}{76.8}=0.8$

We can see that each term is obtained by multiplying the previous term by 0.8 (or 80%).

To calculate the next number in the pattern (5th term), multiply the 4th term (61.44) by 0.8:

$61.44\times 0.8=49.152$

Therefore, the missing number in the pattern is 49.152.