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Finding the Fourth Proportional to 131.84, 197.88 and 83.12

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Solution

The fourth proportional to 131.84, 197.88 and 83.12 is: 124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.84 : 197.88 = 83.12 : x
  2. Step 2: Convert to fraction form
    131.84/197.88 = 83.12/x
  3. Step 3: Cross multiply
    131.84x = 197.88 × 83.12
  4. Step 4: Simplify right side
    131.84x = 16,447.79
  5. Step 5: Solve for x
    x = 16,447.79/131.84
  6. Step 6: Final answer
    x = 124.76

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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.