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Finding the Fourth Proportional to 122.28, 183.11 and 106.79

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Solution

The fourth proportional to 122.28, 183.11 and 106.79 is: 159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.28 : 183.11 = 106.79 : x
  2. Step 2: Convert to fraction form
    122.28/183.11 = 106.79/x
  3. Step 3: Cross multiply
    122.28x = 183.11 × 106.79
  4. Step 4: Simplify right side
    122.28x = 19,554.32
  5. Step 5: Solve for x
    x = 19,554.32/122.28
  6. Step 6: Final answer
    x = 159.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.