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Finding the Fourth Proportional to 122.44, 169.02 and 106.24

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Solution

The fourth proportional to 122.44, 169.02 and 106.24 is: 146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.44 : 169.02 = 106.24 : x
  2. Step 2: Convert to fraction form
    122.44/169.02 = 106.24/x
  3. Step 3: Cross multiply
    122.44x = 169.02 × 106.24
  4. Step 4: Simplify right side
    122.44x = 17,956.68
  5. Step 5: Solve for x
    x = 17,956.68/122.44
  6. Step 6: Final answer
    x = 146.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.