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Finding the Fourth Proportional to 144.14, 198.86 and 81.96

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Solution

The fourth proportional to 144.14, 198.86 and 81.96 is: 113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.14 : 198.86 = 81.96 : x
  2. Step 2: Convert to fraction form
    144.14/198.86 = 81.96/x
  3. Step 3: Cross multiply
    144.14x = 198.86 × 81.96
  4. Step 4: Simplify right side
    144.14x = 16,298.57
  5. Step 5: Solve for x
    x = 16,298.57/144.14
  6. Step 6: Final answer
    x = 113.07

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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.