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Finding the Fourth Proportional to 112.97, 168.80 and 83.57

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Solution

The fourth proportional to 112.97, 168.80 and 83.57 is: 124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.97 : 168.80 = 83.57 : x
  2. Step 2: Convert to fraction form
    112.97/168.80 = 83.57/x
  3. Step 3: Cross multiply
    112.97x = 168.80 × 83.57
  4. Step 4: Simplify right side
    112.97x = 14,105.67
  5. Step 5: Solve for x
    x = 14,105.67/112.97
  6. Step 6: Final answer
    x = 124.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.