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Finding the Fourth Proportional to 122.78, 169.50 and 97.04

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Solution

The fourth proportional to 122.78, 169.50 and 97.04 is: 133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.78 : 169.50 = 97.04 : x
  2. Step 2: Convert to fraction form
    122.78/169.50 = 97.04/x
  3. Step 3: Cross multiply
    122.78x = 169.50 × 97.04
  4. Step 4: Simplify right side
    122.78x = 16,448.28
  5. Step 5: Solve for x
    x = 16,448.28/122.78
  6. Step 6: Final answer
    x = 133.97

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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.