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Finding the Fourth Proportional to 122.44, 169.04 and 81.05

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Solution

The fourth proportional to 122.44, 169.04 and 81.05 is: 111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.44 : 169.04 = 81.05 : x
  2. Step 2: Convert to fraction form
    122.44/169.04 = 81.05/x
  3. Step 3: Cross multiply
    122.44x = 169.04 × 81.05
  4. Step 4: Simplify right side
    122.44x = 13,700.08
  5. Step 5: Solve for x
    x = 13,700.08/122.44
  6. Step 6: Final answer
    x = 111.89

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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.