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Finding the Fourth Proportional to 144.82, 217.42 and 72.74

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Solution

The fourth proportional to 144.82, 217.42 and 72.74 is: 109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.82 : 217.42 = 72.74 : x
  2. Step 2: Convert to fraction form
    144.82/217.42 = 72.74/x
  3. Step 3: Cross multiply
    144.82x = 217.42 × 72.74
  4. Step 4: Simplify right side
    144.82x = 15,815.13
  5. Step 5: Solve for x
    x = 15,815.13/144.82
  6. Step 6: Final answer
    x = 109.21

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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.