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Finding the Fourth Proportional to 54.62, 81.46 and 52.82

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Solution

The fourth proportional to 54.62, 81.46 and 52.82 is: 78.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.62 : 81.46 = 52.82 : x
  2. Step 2: Convert to fraction form
    54.62/81.46 = 52.82/x
  3. Step 3: Cross multiply
    54.62x = 81.46 × 52.82
  4. Step 4: Simplify right side
    54.62x = 4,302.72
  5. Step 5: Solve for x
    x = 4,302.72/54.62
  6. Step 6: Final answer
    x = 78.78

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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.