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Finding the Fourth Proportional to 54.85, 81.71 and 52.27

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Solution

The fourth proportional to 54.85, 81.71 and 52.27 is: 77.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.85 : 81.71 = 52.27 : x
  2. Step 2: Convert to fraction form
    54.85/81.71 = 52.27/x
  3. Step 3: Cross multiply
    54.85x = 81.71 × 52.27
  4. Step 4: Simplify right side
    54.85x = 4,270.57
  5. Step 5: Solve for x
    x = 4,270.57/54.85
  6. Step 6: Final answer
    x = 77.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.