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Finding the Fourth Proportional to 143.92, 198.56 and 81.75

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Solution

The fourth proportional to 143.92, 198.56 and 81.75 is: 112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.92 : 198.56 = 81.75 : x
  2. Step 2: Convert to fraction form
    143.92/198.56 = 81.75/x
  3. Step 3: Cross multiply
    143.92x = 198.56 × 81.75
  4. Step 4: Simplify right side
    143.92x = 16,231.74
  5. Step 5: Solve for x
    x = 16,231.74/143.92
  6. Step 6: Final answer
    x = 112.78

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