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Finding the Fourth Proportional to 112.29, 169.44 and 108.57

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Solution

The fourth proportional to 112.29, 169.44 and 108.57 is: 163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.29 : 169.44 = 108.57 : x
  2. Step 2: Convert to fraction form
    112.29/169.44 = 108.57/x
  3. Step 3: Cross multiply
    112.29x = 169.44 × 108.57
  4. Step 4: Simplify right side
    112.29x = 18,396.10
  5. Step 5: Solve for x
    x = 18,396.10/112.29
  6. Step 6: Final answer
    x = 163.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.