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Finding the Fourth Proportional to 122.20, 182.53 and 103.97

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Solution

The fourth proportional to 122.20, 182.53 and 103.97 is: 155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.20 : 182.53 = 103.97 : x
  2. Step 2: Convert to fraction form
    122.20/182.53 = 103.97/x
  3. Step 3: Cross multiply
    122.20x = 182.53 × 103.97
  4. Step 4: Simplify right side
    122.20x = 18,977.64
  5. Step 5: Solve for x
    x = 18,977.64/122.20
  6. Step 6: Final answer
    x = 155.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.