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Finding the Fourth Proportional to 83.84, 124.94 and 80.87

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Solution

The fourth proportional to 83.84, 124.94 and 80.87 is: 120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.84 : 124.94 = 80.87 : x
  2. Step 2: Convert to fraction form
    83.84/124.94 = 80.87/x
  3. Step 3: Cross multiply
    83.84x = 124.94 × 80.87
  4. Step 4: Simplify right side
    83.84x = 10,103.48
  5. Step 5: Solve for x
    x = 10,103.48/83.84
  6. Step 6: Final answer
    x = 120.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.