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Finding the Fourth Proportional to 122.67, 167.83 and 122.18

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Solution

The fourth proportional to 122.67, 167.83 and 122.18 is: 167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.67 : 167.83 = 122.18 : x
  2. Step 2: Convert to fraction form
    122.67/167.83 = 122.18/x
  3. Step 3: Cross multiply
    122.67x = 167.83 × 122.18
  4. Step 4: Simplify right side
    122.67x = 20,504.32
  5. Step 5: Solve for x
    x = 20,504.32/122.67
  6. Step 6: Final answer
    x = 167.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.