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Finding the Fourth Proportional to 99.71, 149.34 and 53.97

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Solution

The fourth proportional to 99.71, 149.34 and 53.97 is: 80.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.71 : 149.34 = 53.97 : x
  2. Step 2: Convert to fraction form
    99.71/149.34 = 53.97/x
  3. Step 3: Cross multiply
    99.71x = 149.34 × 53.97
  4. Step 4: Simplify right side
    99.71x = 8,059.52
  5. Step 5: Solve for x
    x = 8,059.52/99.71
  6. Step 6: Final answer
    x = 80.83

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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.