Finding the Fourth Proportional to 109.77, 164.72 and 99.51

Step by Step Solution

1. Step 1: Write the proportion equation
   109.77 : 164.72 = 99.51 : x
2. Step 2: Convert to fraction form
   109.77/164.72 = 99.51/x
3. Step 3: Cross multiply
   109.77x = 164.72 × 99.51
4. Step 4: Simplify right side
   109.77x = 16,390.46
5. Step 5: Solve for x
   x = 16,390.46/109.77
6. Step 6: Final answer
   x = 149.32