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Finding the Fourth Proportional to 144.75, 217.24 and 76.29

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Solution

The fourth proportional to 144.75, 217.24 and 76.29 is: 114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.75 : 217.24 = 76.29 : x
  2. Step 2: Convert to fraction form
    144.75/217.24 = 76.29/x
  3. Step 3: Cross multiply
    144.75x = 217.24 × 76.29
  4. Step 4: Simplify right side
    144.75x = 16,573.24
  5. Step 5: Solve for x
    x = 16,573.24/144.75
  6. Step 6: Final answer
    x = 114.50

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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.