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Finding the Fourth Proportional to 54.72, 82.14 and 38.48

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Solution

The fourth proportional to 54.72, 82.14 and 38.48 is: 57.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.72 : 82.14 = 38.48 : x
  2. Step 2: Convert to fraction form
    54.72/82.14 = 38.48/x
  3. Step 3: Cross multiply
    54.72x = 82.14 × 38.48
  4. Step 4: Simplify right side
    54.72x = 3,160.75
  5. Step 5: Solve for x
    x = 3,160.75/54.72
  6. Step 6: Final answer
    x = 57.76

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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.