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Finding the Fourth Proportional to 144.78, 217.08 and 72.60

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Solution

The fourth proportional to 144.78, 217.08 and 72.60 is: 108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.78 : 217.08 = 72.60 : x
  2. Step 2: Convert to fraction form
    144.78/217.08 = 72.60/x
  3. Step 3: Cross multiply
    144.78x = 217.08 × 72.60
  4. Step 4: Simplify right side
    144.78x = 15,760.01
  5. Step 5: Solve for x
    x = 15,760.01/144.78
  6. Step 6: Final answer
    x = 108.85

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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.