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Finding the Fourth Proportional to 144.73, 217.14 and 48.54

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Solution

The fourth proportional to 144.73, 217.14 and 48.54 is: 72.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.73 : 217.14 = 48.54 : x
  2. Step 2: Convert to fraction form
    144.73/217.14 = 48.54/x
  3. Step 3: Cross multiply
    144.73x = 217.14 × 48.54
  4. Step 4: Simplify right side
    144.73x = 10,539.98
  5. Step 5: Solve for x
    x = 10,539.98/144.73
  6. Step 6: Final answer
    x = 72.83

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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.