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Finding the Fourth Proportional to 180.72, 270.72 and 84.24

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Solution

The fourth proportional to 180.72, 270.72 and 84.24 is: 126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.72 : 270.72 = 84.24 : x
  2. Step 2: Convert to fraction form
    180.72/270.72 = 84.24/x
  3. Step 3: Cross multiply
    180.72x = 270.72 × 84.24
  4. Step 4: Simplify right side
    180.72x = 22,805.45
  5. Step 5: Solve for x
    x = 22,805.45/180.72
  6. Step 6: Final answer
    x = 126.19

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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.