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Finding the Fourth Proportional to 96.42, 144.69 and 60.39

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Solution

The fourth proportional to 96.42, 144.69 and 60.39 is: 90.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.42 : 144.69 = 60.39 : x
  2. Step 2: Convert to fraction form
    96.42/144.69 = 60.39/x
  3. Step 3: Cross multiply
    96.42x = 144.69 × 60.39
  4. Step 4: Simplify right side
    96.42x = 8,737.83
  5. Step 5: Solve for x
    x = 8,737.83/96.42
  6. Step 6: Final answer
    x = 90.62

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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.