Finding the Fourth Proportional to 109.88, 164.71 and 99.75

Step by Step Solution

1. Step 1: Write the proportion equation
   109.88 : 164.71 = 99.75 : x
2. Step 2: Convert to fraction form
   109.88/164.71 = 99.75/x
3. Step 3: Cross multiply
   109.88x = 164.71 × 99.75
4. Step 4: Simplify right side
   109.88x = 16,429.82
5. Step 5: Solve for x
   x = 16,429.82/109.88
6. Step 6: Final answer
   x = 149.53