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Finding the Fourth Proportional to 132.38, 198.45 and 78.32

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Solution

The fourth proportional to 132.38, 198.45 and 78.32 is: 117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.38 : 198.45 = 78.32 : x
  2. Step 2: Convert to fraction form
    132.38/198.45 = 78.32/x
  3. Step 3: Cross multiply
    132.38x = 198.45 × 78.32
  4. Step 4: Simplify right side
    132.38x = 15,542.60
  5. Step 5: Solve for x
    x = 15,542.60/132.38
  6. Step 6: Final answer
    x = 117.41

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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.