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Finding the Fourth Proportional to 180.09, 270.04 and 77.32

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Solution

The fourth proportional to 180.09, 270.04 and 77.32 is: 115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.09 : 270.04 = 77.32 : x
  2. Step 2: Convert to fraction form
    180.09/270.04 = 77.32/x
  3. Step 3: Cross multiply
    180.09x = 270.04 × 77.32
  4. Step 4: Simplify right side
    180.09x = 20,879.49
  5. Step 5: Solve for x
    x = 20,879.49/180.09
  6. Step 6: Final answer
    x = 115.94

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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.