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Finding the Fourth Proportional to 273.44, 410.16 and 81.06

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Solution

The fourth proportional to 273.44, 410.16 and 81.06 is: 121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.44 : 410.16 = 81.06 : x
  2. Step 2: Convert to fraction form
    273.44/410.16 = 81.06/x
  3. Step 3: Cross multiply
    273.44x = 410.16 × 81.06
  4. Step 4: Simplify right side
    273.44x = 33,247.57
  5. Step 5: Solve for x
    x = 33,247.57/273.44
  6. Step 6: Final answer
    x = 121.59

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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.