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Finding the Fourth Proportional to 180.14, 270.42 and 84.14

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Solution

The fourth proportional to 180.14, 270.42 and 84.14 is: 126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.14 : 270.42 = 84.14 : x
  2. Step 2: Convert to fraction form
    180.14/270.42 = 84.14/x
  3. Step 3: Cross multiply
    180.14x = 270.42 × 84.14
  4. Step 4: Simplify right side
    180.14x = 22,753.14
  5. Step 5: Solve for x
    x = 22,753.14/180.14
  6. Step 6: Final answer
    x = 126.31

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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.