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Finding the Fourth Proportional to 58.13, 87.17 and 54.55

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Solution

The fourth proportional to 58.13, 87.17 and 54.55 is: 81.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.13 : 87.17 = 54.55 : x
  2. Step 2: Convert to fraction form
    58.13/87.17 = 54.55/x
  3. Step 3: Cross multiply
    58.13x = 87.17 × 54.55
  4. Step 4: Simplify right side
    58.13x = 4,754.41
  5. Step 5: Solve for x
    x = 4,754.41/58.13
  6. Step 6: Final answer
    x = 81.79

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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.