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Finding the Fourth Proportional to 143.88, 198.57 and 81.72

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Solution

The fourth proportional to 143.88, 198.57 and 81.72 is: 112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.88 : 198.57 = 81.72 : x
  2. Step 2: Convert to fraction form
    143.88/198.57 = 81.72/x
  3. Step 3: Cross multiply
    143.88x = 198.57 × 81.72
  4. Step 4: Simplify right side
    143.88x = 16,227.14
  5. Step 5: Solve for x
    x = 16,227.14/143.88
  6. Step 6: Final answer
    x = 112.78

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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.