Final answer:
In the given range between 61 and 107, the only number that is a multiple of 4, 7, and 14 is 84.
Step-by-step explanation:
The student is asked to find numbers between 61 and 107 that are multiples of 4, 7, and 14. Since 14 is a multiple of both 4 and 7, we only need to look for multiples of 14 within the range given. The multiples of 14 from 61 to 107 are 70, 84, and 98. However, 70 is less than the range starting point (61) and 98 exceeds the range ending point (107). Therefore, the number Keisha could choose is 84.