Finding the Fourth Proportional to 109.75, 164.51 and 82.82

Step by Step Solution

1. Step 1: Write the proportion equation
   109.75 : 164.51 = 82.82 : x
2. Step 2: Convert to fraction form
   109.75/164.51 = 82.82/x
3. Step 3: Cross multiply
   109.75x = 164.51 × 82.82
4. Step 4: Simplify right side
   109.75x = 13,624.72
5. Step 5: Solve for x
   x = 13,624.72/109.75
6. Step 6: Final answer
   x = 124.14