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Finding the Fourth Proportional to 51.47, 71.11 and 39.85

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Solution

The fourth proportional to 51.47, 71.11 and 39.85 is: 55.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.47 : 71.11 = 39.85 : x
  2. Step 2: Convert to fraction form
    51.47/71.11 = 39.85/x
  3. Step 3: Cross multiply
    51.47x = 71.11 × 39.85
  4. Step 4: Simplify right side
    51.47x = 2,833.61
  5. Step 5: Solve for x
    x = 2,833.61/51.47
  6. Step 6: Final answer
    x = 55.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.