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Finding the Fourth Proportional to 59.31, 81.62 and 54.75

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Solution

The fourth proportional to 59.31, 81.62 and 54.75 is: 75.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.31 : 81.62 = 54.75 : x
  2. Step 2: Convert to fraction form
    59.31/81.62 = 54.75/x
  3. Step 3: Cross multiply
    59.31x = 81.62 × 54.75
  4. Step 4: Simplify right side
    59.31x = 4,468.70
  5. Step 5: Solve for x
    x = 4,468.70/59.31
  6. Step 6: Final answer
    x = 75.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.