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Finding the Fourth Proportional to 144.56, 217.20 and 96.78

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Solution

The fourth proportional to 144.56, 217.20 and 96.78 is: 145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.56 : 217.20 = 96.78 : x
  2. Step 2: Convert to fraction form
    144.56/217.20 = 96.78/x
  3. Step 3: Cross multiply
    144.56x = 217.20 × 96.78
  4. Step 4: Simplify right side
    144.56x = 21,020.62
  5. Step 5: Solve for x
    x = 21,020.62/144.56
  6. Step 6: Final answer
    x = 145.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.