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Finding the Fourth Proportional to 144.82, 217.20 and 67.78

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Solution

The fourth proportional to 144.82, 217.20 and 67.78 is: 101.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.82 : 217.20 = 67.78 : x
  2. Step 2: Convert to fraction form
    144.82/217.20 = 67.78/x
  3. Step 3: Cross multiply
    144.82x = 217.20 × 67.78
  4. Step 4: Simplify right side
    144.82x = 14,721.82
  5. Step 5: Solve for x
    x = 14,721.82/144.82
  6. Step 6: Final answer
    x = 101.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.