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Finding the Fourth Proportional to 180.12, 270.22 and 51.88

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Solution

The fourth proportional to 180.12, 270.22 and 51.88 is: 77.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.12 : 270.22 = 51.88 : x
  2. Step 2: Convert to fraction form
    180.12/270.22 = 51.88/x
  3. Step 3: Cross multiply
    180.12x = 270.22 × 51.88
  4. Step 4: Simplify right side
    180.12x = 14,019.01
  5. Step 5: Solve for x
    x = 14,019.01/180.12
  6. Step 6: Final answer
    x = 77.83

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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.