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Finding the Fourth Proportional to 59.14, 81.54 and 40.73

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Solution

The fourth proportional to 59.14, 81.54 and 40.73 is: 56.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.14 : 81.54 = 40.73 : x
  2. Step 2: Convert to fraction form
    59.14/81.54 = 40.73/x
  3. Step 3: Cross multiply
    59.14x = 81.54 × 40.73
  4. Step 4: Simplify right side
    59.14x = 3,321.12
  5. Step 5: Solve for x
    x = 3,321.12/59.14
  6. Step 6: Final answer
    x = 56.16

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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.