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Finding the Fourth Proportional to 99.89, 149.85 and 34.90

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Solution

The fourth proportional to 99.89, 149.85 and 34.90 is: 52.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.89 : 149.85 = 34.90 : x
  2. Step 2: Convert to fraction form
    99.89/149.85 = 34.90/x
  3. Step 3: Cross multiply
    99.89x = 149.85 × 34.90
  4. Step 4: Simplify right side
    99.89x = 5,229.77
  5. Step 5: Solve for x
    x = 5,229.77/99.89
  6. Step 6: Final answer
    x = 52.36

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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.