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Finding the Fourth Proportional to 113.85, 169.61 and 107.96

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Solution

The fourth proportional to 113.85, 169.61 and 107.96 is: 160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.85 : 169.61 = 107.96 : x
  2. Step 2: Convert to fraction form
    113.85/169.61 = 107.96/x
  3. Step 3: Cross multiply
    113.85x = 169.61 × 107.96
  4. Step 4: Simplify right side
    113.85x = 18,309.71
  5. Step 5: Solve for x
    x = 18,309.71/113.85
  6. Step 6: Final answer
    x = 160.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.