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Finding the Fourth Proportional to 143.71, 198.31 and 84.70

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Solution

The fourth proportional to 143.71, 198.31 and 84.70 is: 116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.71 : 198.31 = 84.70 : x
  2. Step 2: Convert to fraction form
    143.71/198.31 = 84.70/x
  3. Step 3: Cross multiply
    143.71x = 198.31 × 84.70
  4. Step 4: Simplify right side
    143.71x = 16,796.08
  5. Step 5: Solve for x
    x = 16,796.08/143.71
  6. Step 6: Final answer
    x = 116.88

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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.