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Finding the Fourth Proportional to 191.97, 287.91 and 83.73

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Solution

The fourth proportional to 191.97, 287.91 and 83.73 is: 125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.97 : 287.91 = 83.73 : x
  2. Step 2: Convert to fraction form
    191.97/287.91 = 83.73/x
  3. Step 3: Cross multiply
    191.97x = 287.91 × 83.73
  4. Step 4: Simplify right side
    191.97x = 24,106.70
  5. Step 5: Solve for x
    x = 24,106.70/191.97
  6. Step 6: Final answer
    x = 125.58

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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.