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Finding the Fourth Proportional to 180.11, 270.14 and 51.86

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Solution

The fourth proportional to 180.11, 270.14 and 51.86 is: 77.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.11 : 270.14 = 51.86 : x
  2. Step 2: Convert to fraction form
    180.11/270.14 = 51.86/x
  3. Step 3: Cross multiply
    180.11x = 270.14 × 51.86
  4. Step 4: Simplify right side
    180.11x = 14,007.85
  5. Step 5: Solve for x
    x = 14,007.85/180.11
  6. Step 6: Final answer
    x = 77.78

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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.