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Finding the Fourth Proportional to 54.76, 82.17 and 38.54

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Solution

The fourth proportional to 54.76, 82.17 and 38.54 is: 57.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.76 : 82.17 = 38.54 : x
  2. Step 2: Convert to fraction form
    54.76/82.17 = 38.54/x
  3. Step 3: Cross multiply
    54.76x = 82.17 × 38.54
  4. Step 4: Simplify right side
    54.76x = 3,166.74
  5. Step 5: Solve for x
    x = 3,166.74/54.76
  6. Step 6: Final answer
    x = 57.83

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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.