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Finding the Fourth Proportional to 120.20, 180.49 and 103.27

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Solution

The fourth proportional to 120.20, 180.49 and 103.27 is: 155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.20 : 180.49 = 103.27 : x
  2. Step 2: Convert to fraction form
    120.20/180.49 = 103.27/x
  3. Step 3: Cross multiply
    120.20x = 180.49 × 103.27
  4. Step 4: Simplify right side
    120.20x = 18,638.49
  5. Step 5: Solve for x
    x = 18,638.49/120.20
  6. Step 6: Final answer
    x = 155.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.