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Finding the Fourth Proportional to 132.20, 198.29 and 78.02

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Solution

The fourth proportional to 132.20, 198.29 and 78.02 is: 117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.20 : 198.29 = 78.02 : x
  2. Step 2: Convert to fraction form
    132.20/198.29 = 78.02/x
  3. Step 3: Cross multiply
    132.20x = 198.29 × 78.02
  4. Step 4: Simplify right side
    132.20x = 15,470.59
  5. Step 5: Solve for x
    x = 15,470.59/132.20
  6. Step 6: Final answer
    x = 117.02

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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.