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Finding the Fourth Proportional to 272.97, 409.52 and 80.59

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Solution

The fourth proportional to 272.97, 409.52 and 80.59 is: 120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.97 : 409.52 = 80.59 : x
  2. Step 2: Convert to fraction form
    272.97/409.52 = 80.59/x
  3. Step 3: Cross multiply
    272.97x = 409.52 × 80.59
  4. Step 4: Simplify right side
    272.97x = 33,003.22
  5. Step 5: Solve for x
    x = 33,003.22/272.97
  6. Step 6: Final answer
    x = 120.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.