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Finding the Fourth Proportional to 180.16, 270.07 and 71.87

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Solution

The fourth proportional to 180.16, 270.07 and 71.87 is: 107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.16 : 270.07 = 71.87 : x
  2. Step 2: Convert to fraction form
    180.16/270.07 = 71.87/x
  3. Step 3: Cross multiply
    180.16x = 270.07 × 71.87
  4. Step 4: Simplify right side
    180.16x = 19,408.40
  5. Step 5: Solve for x
    x = 19,408.40/180.16
  6. Step 6: Final answer
    x = 107.73

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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.