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Finding the Fourth Proportional to 120.15, 180.12 and 84.11

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Solution

The fourth proportional to 120.15, 180.12 and 84.11 is: 126.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.15 : 180.12 = 84.11 : x
  2. Step 2: Convert to fraction form
    120.15/180.12 = 84.11/x
  3. Step 3: Cross multiply
    120.15x = 180.12 × 84.11
  4. Step 4: Simplify right side
    120.15x = 15,149.31
  5. Step 5: Solve for x
    x = 15,149.31/120.15
  6. Step 6: Final answer
    x = 126.09

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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.