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Finding the Fourth Proportional to 144.76, 217.12 and 63.62

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Solution

The fourth proportional to 144.76, 217.12 and 63.62 is: 95.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.76 : 217.12 = 63.62 : x
  2. Step 2: Convert to fraction form
    144.76/217.12 = 63.62/x
  3. Step 3: Cross multiply
    144.76x = 217.12 × 63.62
  4. Step 4: Simplify right side
    144.76x = 13,813.17
  5. Step 5: Solve for x
    x = 13,813.17/144.76
  6. Step 6: Final answer
    x = 95.42

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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.