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Finding the Fourth Proportional to 132.02, 198.20 and 80.53

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Solution

The fourth proportional to 132.02, 198.20 and 80.53 is: 120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.02 : 198.20 = 80.53 : x
  2. Step 2: Convert to fraction form
    132.02/198.20 = 80.53/x
  3. Step 3: Cross multiply
    132.02x = 198.20 × 80.53
  4. Step 4: Simplify right side
    132.02x = 15,961.13
  5. Step 5: Solve for x
    x = 15,961.13/132.02
  6. Step 6: Final answer
    x = 120.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.