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Finding the Fourth Proportional to 99.65, 149.24 and 63.47

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Solution

The fourth proportional to 99.65, 149.24 and 63.47 is: 95.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.65 : 149.24 = 63.47 : x
  2. Step 2: Convert to fraction form
    99.65/149.24 = 63.47/x
  3. Step 3: Cross multiply
    99.65x = 149.24 × 63.47
  4. Step 4: Simplify right side
    99.65x = 9,472.79
  5. Step 5: Solve for x
    x = 9,472.79/99.65
  6. Step 6: Final answer
    x = 95.06

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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.