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Finding the Fourth Proportional to 180.13, 270.24 and 84.01

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Solution

The fourth proportional to 180.13, 270.24 and 84.01 is: 126.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.13 : 270.24 = 84.01 : x
  2. Step 2: Convert to fraction form
    180.13/270.24 = 84.01/x
  3. Step 3: Cross multiply
    180.13x = 270.24 × 84.01
  4. Step 4: Simplify right side
    180.13x = 22,702.86
  5. Step 5: Solve for x
    x = 22,702.86/180.13
  6. Step 6: Final answer
    x = 126.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.