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Finding the Fourth Proportional to 113.76, 169.54 and 109.24

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Solution

The fourth proportional to 113.76, 169.54 and 109.24 is: 162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.76 : 169.54 = 109.24 : x
  2. Step 2: Convert to fraction form
    113.76/169.54 = 109.24/x
  3. Step 3: Cross multiply
    113.76x = 169.54 × 109.24
  4. Step 4: Simplify right side
    113.76x = 18,520.55
  5. Step 5: Solve for x
    x = 18,520.55/113.76
  6. Step 6: Final answer
    x = 162.80

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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.