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Finding the Fourth Proportional to 59.14, 81.60 and 34.58

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Solution

The fourth proportional to 59.14, 81.60 and 34.58 is: 47.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.14 : 81.60 = 34.58 : x
  2. Step 2: Convert to fraction form
    59.14/81.60 = 34.58/x
  3. Step 3: Cross multiply
    59.14x = 81.60 × 34.58
  4. Step 4: Simplify right side
    59.14x = 2,821.73
  5. Step 5: Solve for x
    x = 2,821.73/59.14
  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.