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Finding the Fourth Proportional to 96.78, 144.82 and 60.24

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Solution

The fourth proportional to 96.78, 144.82 and 60.24 is: 90.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.78 : 144.82 = 60.24 : x
  2. Step 2: Convert to fraction form
    96.78/144.82 = 60.24/x
  3. Step 3: Cross multiply
    96.78x = 144.82 × 60.24
  4. Step 4: Simplify right side
    96.78x = 8,723.96
  5. Step 5: Solve for x
    x = 8,723.96/96.78
  6. Step 6: Final answer
    x = 90.14

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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.