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Finding the Fourth Proportional to 132.05, 198.01 and 71.17

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Solution

The fourth proportional to 132.05, 198.01 and 71.17 is: 106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.05 : 198.01 = 71.17 : x
  2. Step 2: Convert to fraction form
    132.05/198.01 = 71.17/x
  3. Step 3: Cross multiply
    132.05x = 198.01 × 71.17
  4. Step 4: Simplify right side
    132.05x = 14,092.37
  5. Step 5: Solve for x
    x = 14,092.37/132.05
  6. Step 6: Final answer
    x = 106.72

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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.