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Finding the Fourth Proportional to 180.12, 270.13 and 50.09

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Solution

The fourth proportional to 180.12, 270.13 and 50.09 is: 75.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.12 : 270.13 = 50.09 : x
  2. Step 2: Convert to fraction form
    180.12/270.13 = 50.09/x
  3. Step 3: Cross multiply
    180.12x = 270.13 × 50.09
  4. Step 4: Simplify right side
    180.12x = 13,530.01
  5. Step 5: Solve for x
    x = 13,530.01/180.12
  6. Step 6: Final answer
    x = 75.12

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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.