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Finding the Fourth Proportional to 122.32, 167.85 and 111.32

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Solution

The fourth proportional to 122.32, 167.85 and 111.32 is: 152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.32 : 167.85 = 111.32 : x
  2. Step 2: Convert to fraction form
    122.32/167.85 = 111.32/x
  3. Step 3: Cross multiply
    122.32x = 167.85 × 111.32
  4. Step 4: Simplify right side
    122.32x = 18,685.06
  5. Step 5: Solve for x
    x = 18,685.06/122.32
  6. Step 6: Final answer
    x = 152.76

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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.