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Finding the Fourth Proportional to 112.15, 168.32 and 81.83

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Solution

The fourth proportional to 112.15, 168.32 and 81.83 is: 122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.15 : 168.32 = 81.83 : x
  2. Step 2: Convert to fraction form
    112.15/168.32 = 81.83/x
  3. Step 3: Cross multiply
    112.15x = 168.32 × 81.83
  4. Step 4: Simplify right side
    112.15x = 13,773.22
  5. Step 5: Solve for x
    x = 13,773.22/112.15
  6. Step 6: Final answer
    x = 122.81

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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.