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Finding the Fourth Proportional to 112.21, 168.38 and 81.83

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Solution

The fourth proportional to 112.21, 168.38 and 81.83 is: 122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.21 : 168.38 = 81.83 : x
  2. Step 2: Convert to fraction form
    112.21/168.38 = 81.83/x
  3. Step 3: Cross multiply
    112.21x = 168.38 × 81.83
  4. Step 4: Simplify right side
    112.21x = 13,778.54
  5. Step 5: Solve for x
    x = 13,778.54/112.21
  6. Step 6: Final answer
    x = 122.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.