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Finding the Fourth Proportional to 59.13, 81.60 and 34.57

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Solution

The fourth proportional to 59.13, 81.60 and 34.57 is: 47.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.13 : 81.60 = 34.57 : x
  2. Step 2: Convert to fraction form
    59.13/81.60 = 34.57/x
  3. Step 3: Cross multiply
    59.13x = 81.60 × 34.57
  4. Step 4: Simplify right side
    59.13x = 2,820.91
  5. Step 5: Solve for x
    x = 2,820.91/59.13
  6. Step 6: Final answer
    x = 47.71

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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.