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Finding the Fourth Proportional to 54.59, 81.45 and 52.16

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Solution

The fourth proportional to 54.59, 81.45 and 52.16 is: 77.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.59 : 81.45 = 52.16 : x
  2. Step 2: Convert to fraction form
    54.59/81.45 = 52.16/x
  3. Step 3: Cross multiply
    54.59x = 81.45 × 52.16
  4. Step 4: Simplify right side
    54.59x = 4,248.43
  5. Step 5: Solve for x
    x = 4,248.43/54.59
  6. Step 6: Final answer
    x = 77.82

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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.