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Finding the Fourth Proportional to 143.97, 198.68 and 81.77

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Solution

The fourth proportional to 143.97, 198.68 and 81.77 is: 112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.97 : 198.68 = 81.77 : x
  2. Step 2: Convert to fraction form
    143.97/198.68 = 81.77/x
  3. Step 3: Cross multiply
    143.97x = 198.68 × 81.77
  4. Step 4: Simplify right side
    143.97x = 16,246.76
  5. Step 5: Solve for x
    x = 16,246.76/143.97
  6. Step 6: Final answer
    x = 112.85

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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.