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Finding the Fourth Proportional to 122.09, 168.36 and 80.65

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Solution

The fourth proportional to 122.09, 168.36 and 80.65 is: 111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.09 : 168.36 = 80.65 : x
  2. Step 2: Convert to fraction form
    122.09/168.36 = 80.65/x
  3. Step 3: Cross multiply
    122.09x = 168.36 × 80.65
  4. Step 4: Simplify right side
    122.09x = 13,578.23
  5. Step 5: Solve for x
    x = 13,578.23/122.09
  6. Step 6: Final answer
    x = 111.21

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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.