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Finding the Fourth Proportional to 144.06, 198.82 and 81.91

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Solution

The fourth proportional to 144.06, 198.82 and 81.91 is: 113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.06 : 198.82 = 81.91 : x
  2. Step 2: Convert to fraction form
    144.06/198.82 = 81.91/x
  3. Step 3: Cross multiply
    144.06x = 198.82 × 81.91
  4. Step 4: Simplify right side
    144.06x = 16,285.35
  5. Step 5: Solve for x
    x = 16,285.35/144.06
  6. Step 6: Final answer
    x = 113.05

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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.