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Finding the Fourth Proportional to 99.82, 149.57 and 63.68

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Solution

The fourth proportional to 99.82, 149.57 and 63.68 is: 95.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.82 : 149.57 = 63.68 : x
  2. Step 2: Convert to fraction form
    99.82/149.57 = 63.68/x
  3. Step 3: Cross multiply
    99.82x = 149.57 × 63.68
  4. Step 4: Simplify right side
    99.82x = 9,523.79
  5. Step 5: Solve for x
    x = 9,523.79/99.82
  6. Step 6: Final answer
    x = 95.41

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Why These Related Problems?

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