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Finding the Fourth Proportional to 99.89, 149.82 and 34.88

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Solution

The fourth proportional to 99.89, 149.82 and 34.88 is: 52.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.89 : 149.82 = 34.88 : x
  2. Step 2: Convert to fraction form
    99.89/149.82 = 34.88/x
  3. Step 3: Cross multiply
    99.89x = 149.82 × 34.88
  4. Step 4: Simplify right side
    99.89x = 5,224.97
  5. Step 5: Solve for x
    x = 5,224.97/99.89
  6. Step 6: Final answer
    x = 52.31

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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.