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Finding the Fourth Proportional to 182.72, 273.89 and 91.55

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Solution

The fourth proportional to 182.72, 273.89 and 91.55 is: 137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.72 : 273.89 = 91.55 : x
  2. Step 2: Convert to fraction form
    182.72/273.89 = 91.55/x
  3. Step 3: Cross multiply
    182.72x = 273.89 × 91.55
  4. Step 4: Simplify right side
    182.72x = 25,072.80
  5. Step 5: Solve for x
    x = 25,072.80/182.72
  6. Step 6: Final answer
    x = 137.22

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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.