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Finding the Fourth Proportional to 180.13, 270.31 and 66.13

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Solution

The fourth proportional to 180.13, 270.31 and 66.13 is: 99.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.13 : 270.31 = 66.13 : x
  2. Step 2: Convert to fraction form
    180.13/270.31 = 66.13/x
  3. Step 3: Cross multiply
    180.13x = 270.31 × 66.13
  4. Step 4: Simplify right side
    180.13x = 17,874.08
  5. Step 5: Solve for x
    x = 17,874.08/180.13
  6. Step 6: Final answer
    x = 99.23

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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.