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Finding the Fourth Proportional to 99.62, 149.42 and 27.47

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Solution

The fourth proportional to 99.62, 149.42 and 27.47 is: 41.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.62 : 149.42 = 27.47 : x
  2. Step 2: Convert to fraction form
    99.62/149.42 = 27.47/x
  3. Step 3: Cross multiply
    99.62x = 149.42 × 27.47
  4. Step 4: Simplify right side
    99.62x = 4,105.01
  5. Step 5: Solve for x
    x = 4,105.01/99.62
  6. Step 6: Final answer
    x = 41.21

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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.