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Finding the Fourth Proportional to 180.15, 270.11 and 77.30

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Solution

The fourth proportional to 180.15, 270.11 and 77.30 is: 115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.15 : 270.11 = 77.30 : x
  2. Step 2: Convert to fraction form
    180.15/270.11 = 77.30/x
  3. Step 3: Cross multiply
    180.15x = 270.11 × 77.30
  4. Step 4: Simplify right side
    180.15x = 20,877.77
  5. Step 5: Solve for x
    x = 20,877.77/180.15
  6. Step 6: Final answer
    x = 115.89

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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.