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Finding the Fourth Proportional to 272.51, 408.84 and 80.14

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Solution

The fourth proportional to 272.51, 408.84 and 80.14 is: 120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.51 : 408.84 = 80.14 : x
  2. Step 2: Convert to fraction form
    272.51/408.84 = 80.14/x
  3. Step 3: Cross multiply
    272.51x = 408.84 × 80.14
  4. Step 4: Simplify right side
    272.51x = 32,764.44
  5. Step 5: Solve for x
    x = 32,764.44/272.51
  6. Step 6: Final answer
    x = 120.23

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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.