Finding the Fourth Proportional to 120.82, 165.82 and 111.10

Step by Step Solution

1. Step 1: Write the proportion equation
   120.82 : 165.82 = 111.10 : x
2. Step 2: Convert to fraction form
   120.82/165.82 = 111.10/x
3. Step 3: Cross multiply
   120.82x = 165.82 × 111.10
4. Step 4: Simplify right side
   120.82x = 18,422.60
5. Step 5: Solve for x
   x = 18,422.60/120.82
6. Step 6: Final answer
   x = 152.48