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Finding the Fourth Proportional to 113.47, 169.98 and 59.29

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Solution

The fourth proportional to 113.47, 169.98 and 59.29 is: 88.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.47 : 169.98 = 59.29 : x
  2. Step 2: Convert to fraction form
    113.47/169.98 = 59.29/x
  3. Step 3: Cross multiply
    113.47x = 169.98 × 59.29
  4. Step 4: Simplify right side
    113.47x = 10,078.11
  5. Step 5: Solve for x
    x = 10,078.11/113.47
  6. Step 6: Final answer
    x = 88.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.