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Finding the Fourth Proportional to 143.93, 198.61 and 81.76

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Solution

The fourth proportional to 143.93, 198.61 and 81.76 is: 112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.93 : 198.61 = 81.76 : x
  2. Step 2: Convert to fraction form
    143.93/198.61 = 81.76/x
  3. Step 3: Cross multiply
    143.93x = 198.61 × 81.76
  4. Step 4: Simplify right side
    143.93x = 16,238.35
  5. Step 5: Solve for x
    x = 16,238.35/143.93
  6. Step 6: Final answer
    x = 112.82

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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.