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Finding the Fourth Proportional to 54.87, 82.17 and 36.87

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Solution

The fourth proportional to 54.87, 82.17 and 36.87 is: 55.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.87 : 82.17 = 36.87 : x
  2. Step 2: Convert to fraction form
    54.87/82.17 = 36.87/x
  3. Step 3: Cross multiply
    54.87x = 82.17 × 36.87
  4. Step 4: Simplify right side
    54.87x = 3,029.61
  5. Step 5: Solve for x
    x = 3,029.61/54.87
  6. Step 6: Final answer
    x = 55.21

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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.