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Finding the Fourth Proportional to 122.92, 169.40 and 103.20

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Solution

The fourth proportional to 122.92, 169.40 and 103.20 is: 142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.92 : 169.40 = 103.20 : x
  2. Step 2: Convert to fraction form
    122.92/169.40 = 103.20/x
  3. Step 3: Cross multiply
    122.92x = 169.40 × 103.20
  4. Step 4: Simplify right side
    122.92x = 17,482.08
  5. Step 5: Solve for x
    x = 17,482.08/122.92
  6. Step 6: Final answer
    x = 142.22

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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.