Finding the Fourth Proportional to 109.98, 164.76 and 83.10

Step by Step Solution

1. Step 1: Write the proportion equation
   109.98 : 164.76 = 83.10 : x
2. Step 2: Convert to fraction form
   109.98/164.76 = 83.10/x
3. Step 3: Cross multiply
   109.98x = 164.76 × 83.10
4. Step 4: Simplify right side
   109.98x = 13,691.56
5. Step 5: Solve for x
   x = 13,691.56/109.98
6. Step 6: Final answer
   x = 124.49