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Finding the Fourth Proportional to 144.78, 217.07 and 76.38

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Solution

The fourth proportional to 144.78, 217.07 and 76.38 is: 114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.78 : 217.07 = 76.38 : x
  2. Step 2: Convert to fraction form
    144.78/217.07 = 76.38/x
  3. Step 3: Cross multiply
    144.78x = 217.07 × 76.38
  4. Step 4: Simplify right side
    144.78x = 16,578.90
  5. Step 5: Solve for x
    x = 16,578.90/144.78
  6. Step 6: Final answer
    x = 114.51

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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.