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Finding the Fourth Proportional to 144.15, 198.96 and 81.98

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Solution

The fourth proportional to 144.15, 198.96 and 81.98 is: 113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.15 : 198.96 = 81.98 : x
  2. Step 2: Convert to fraction form
    144.15/198.96 = 81.98/x
  3. Step 3: Cross multiply
    144.15x = 198.96 × 81.98
  4. Step 4: Simplify right side
    144.15x = 16,310.33
  5. Step 5: Solve for x
    x = 16,310.33/144.15
  6. Step 6: Final answer
    x = 113.15

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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.