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Finding the Fourth Proportional to 180.15, 270.25 and 77.42

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Solution

The fourth proportional to 180.15, 270.25 and 77.42 is: 116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.15 : 270.25 = 77.42 : x
  2. Step 2: Convert to fraction form
    180.15/270.25 = 77.42/x
  3. Step 3: Cross multiply
    180.15x = 270.25 × 77.42
  4. Step 4: Simplify right side
    180.15x = 20,921.02
  5. Step 5: Solve for x
    x = 20,921.02/180.15
  6. Step 6: Final answer
    x = 116.13

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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.