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Finding the Fourth Proportional to 132.25, 198 and 71.24

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Solution

The fourth proportional to 132.25, 198 and 71.24 is: 106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.25 : 198 = 71.24 : x
  2. Step 2: Convert to fraction form
    132.25/198 = 71.24/x
  3. Step 3: Cross multiply
    132.25x = 198 × 71.24
  4. Step 4: Simplify right side
    132.25x = 14,105.52
  5. Step 5: Solve for x
    x = 14,105.52/132.25
  6. Step 6: Final answer
    x = 106.66

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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.