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Finding the Fourth Proportional to 122.75, 169.46 and 79.11

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Solution

The fourth proportional to 122.75, 169.46 and 79.11 is: 109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.75 : 169.46 = 79.11 : x
  2. Step 2: Convert to fraction form
    122.75/169.46 = 79.11/x
  3. Step 3: Cross multiply
    122.75x = 169.46 × 79.11
  4. Step 4: Simplify right side
    122.75x = 13,405.98
  5. Step 5: Solve for x
    x = 13,405.98/122.75
  6. Step 6: Final answer
    x = 109.21

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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.