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Finding the Fourth Proportional to 122.92, 182.84 and 111.97

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Solution

The fourth proportional to 122.92, 182.84 and 111.97 is: 166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.92 : 182.84 = 111.97 : x
  2. Step 2: Convert to fraction form
    122.92/182.84 = 111.97/x
  3. Step 3: Cross multiply
    122.92x = 182.84 × 111.97
  4. Step 4: Simplify right side
    122.92x = 20,471.24
  5. Step 5: Solve for x
    x = 20,471.24/122.92
  6. Step 6: Final answer
    x = 166.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.