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Finding the Fourth Proportional to 122.35, 167.62 and 120.83

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Solution

The fourth proportional to 122.35, 167.62 and 120.83 is: 165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.35 : 167.62 = 120.83 : x
  2. Step 2: Convert to fraction form
    122.35/167.62 = 120.83/x
  3. Step 3: Cross multiply
    122.35x = 167.62 × 120.83
  4. Step 4: Simplify right side
    122.35x = 20,253.52
  5. Step 5: Solve for x
    x = 20,253.52/122.35
  6. Step 6: Final answer
    x = 165.54

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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.