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Finding the Fourth Proportional to 113.98, 169.85 and 107.14

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Solution

The fourth proportional to 113.98, 169.85 and 107.14 is: 159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.98 : 169.85 = 107.14 : x
  2. Step 2: Convert to fraction form
    113.98/169.85 = 107.14/x
  3. Step 3: Cross multiply
    113.98x = 169.85 × 107.14
  4. Step 4: Simplify right side
    113.98x = 18,197.73
  5. Step 5: Solve for x
    x = 18,197.73/113.98
  6. Step 6: Final answer
    x = 159.66

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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.