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Finding the Fourth Proportional to 182.11, 273.15 and 73.89

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Solution

The fourth proportional to 182.11, 273.15 and 73.89 is: 110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.11 : 273.15 = 73.89 : x
  2. Step 2: Convert to fraction form
    182.11/273.15 = 73.89/x
  3. Step 3: Cross multiply
    182.11x = 273.15 × 73.89
  4. Step 4: Simplify right side
    182.11x = 20,183.05
  5. Step 5: Solve for x
    x = 20,183.05/182.11
  6. Step 6: Final answer
    x = 110.83

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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.