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Finding the Fourth Proportional to 180.32, 270.46 and 58.56

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Solution

The fourth proportional to 180.32, 270.46 and 58.56 is: 87.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.32 : 270.46 = 58.56 : x
  2. Step 2: Convert to fraction form
    180.32/270.46 = 58.56/x
  3. Step 3: Cross multiply
    180.32x = 270.46 × 58.56
  4. Step 4: Simplify right side
    180.32x = 15,837.20
  5. Step 5: Solve for x
    x = 15,837.20/180.32
  6. Step 6: Final answer
    x = 87.83

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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.