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Finding the Fourth Proportional to 144.01, 198.75 and 81.85

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Solution

The fourth proportional to 144.01, 198.75 and 81.85 is: 112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.01 : 198.75 = 81.85 : x
  2. Step 2: Convert to fraction form
    144.01/198.75 = 81.85/x
  3. Step 3: Cross multiply
    144.01x = 198.75 × 81.85
  4. Step 4: Simplify right side
    144.01x = 16,267.69
  5. Step 5: Solve for x
    x = 16,267.69/144.01
  6. Step 6: Final answer
    x = 112.96

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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.