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Finding the Fourth Proportional to 96.08, 143.92 and 44.65

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Solution

The fourth proportional to 96.08, 143.92 and 44.65 is: 66.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.08 : 143.92 = 44.65 : x
  2. Step 2: Convert to fraction form
    96.08/143.92 = 44.65/x
  3. Step 3: Cross multiply
    96.08x = 143.92 × 44.65
  4. Step 4: Simplify right side
    96.08x = 6,425.56
  5. Step 5: Solve for x
    x = 6,425.56/96.08
  6. Step 6: Final answer
    x = 66.88

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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.