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Finding the Fourth Proportional to 131.92, 197.42 and 83.22

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Solution

The fourth proportional to 131.92, 197.42 and 83.22 is: 124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.92 : 197.42 = 83.22 : x
  2. Step 2: Convert to fraction form
    131.92/197.42 = 83.22/x
  3. Step 3: Cross multiply
    131.92x = 197.42 × 83.22
  4. Step 4: Simplify right side
    131.92x = 16,429.29
  5. Step 5: Solve for x
    x = 16,429.29/131.92
  6. Step 6: Final answer
    x = 124.54

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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.