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Finding the Fourth Proportional to 122.37, 168.84 and 75.78

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Solution

The fourth proportional to 122.37, 168.84 and 75.78 is: 104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.37 : 168.84 = 75.78 : x
  2. Step 2: Convert to fraction form
    122.37/168.84 = 75.78/x
  3. Step 3: Cross multiply
    122.37x = 168.84 × 75.78
  4. Step 4: Simplify right side
    122.37x = 12,794.70
  5. Step 5: Solve for x
    x = 12,794.70/122.37
  6. Step 6: Final answer
    x = 104.56

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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.