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Finding the Fourth Proportional to 180.06, 270.20 and 82.54

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Solution

The fourth proportional to 180.06, 270.20 and 82.54 is: 123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.06 : 270.20 = 82.54 : x
  2. Step 2: Convert to fraction form
    180.06/270.20 = 82.54/x
  3. Step 3: Cross multiply
    180.06x = 270.20 × 82.54
  4. Step 4: Simplify right side
    180.06x = 22,302.31
  5. Step 5: Solve for x
    x = 22,302.31/180.06
  6. Step 6: Final answer
    x = 123.86

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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.