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Finding the Fourth Proportional to 71.13, 106.74 and 55.20

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Solution

The fourth proportional to 71.13, 106.74 and 55.20 is: 82.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.13 : 106.74 = 55.20 : x
  2. Step 2: Convert to fraction form
    71.13/106.74 = 55.20/x
  3. Step 3: Cross multiply
    71.13x = 106.74 × 55.20
  4. Step 4: Simplify right side
    71.13x = 5,892.05
  5. Step 5: Solve for x
    x = 5,892.05/71.13
  6. Step 6: Final answer
    x = 82.83

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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.