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Finding the Fourth Proportional to 144.12, 198.86 and 81.92

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Solution

The fourth proportional to 144.12, 198.86 and 81.92 is: 113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.12 : 198.86 = 81.92 : x
  2. Step 2: Convert to fraction form
    144.12/198.86 = 81.92/x
  3. Step 3: Cross multiply
    144.12x = 198.86 × 81.92
  4. Step 4: Simplify right side
    144.12x = 16,290.61
  5. Step 5: Solve for x
    x = 16,290.61/144.12
  6. Step 6: Final answer
    x = 113.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.