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Finding the Fourth Proportional to 155.04, 213.92 and 122.24

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Solution

The fourth proportional to 155.04, 213.92 and 122.24 is: 168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.04 : 213.92 = 122.24 : x
  2. Step 2: Convert to fraction form
    155.04/213.92 = 122.24/x
  3. Step 3: Cross multiply
    155.04x = 213.92 × 122.24
  4. Step 4: Simplify right side
    155.04x = 26,149.58
  5. Step 5: Solve for x
    x = 26,149.58/155.04
  6. Step 6: Final answer
    x = 168.66

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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.