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Finding the Fourth Proportional to 122.28, 168.84 and 82.50

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Solution

The fourth proportional to 122.28, 168.84 and 82.50 is: 113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.28 : 168.84 = 82.50 : x
  2. Step 2: Convert to fraction form
    122.28/168.84 = 82.50/x
  3. Step 3: Cross multiply
    122.28x = 168.84 × 82.50
  4. Step 4: Simplify right side
    122.28x = 13,929.30
  5. Step 5: Solve for x
    x = 13,929.30/122.28
  6. Step 6: Final answer
    x = 113.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.