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Finding the Fourth Proportional to 272.95, 409.43 and 80.57

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Solution

The fourth proportional to 272.95, 409.43 and 80.57 is: 120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.95 : 409.43 = 80.57 : x
  2. Step 2: Convert to fraction form
    272.95/409.43 = 80.57/x
  3. Step 3: Cross multiply
    272.95x = 409.43 × 80.57
  4. Step 4: Simplify right side
    272.95x = 32,987.78
  5. Step 5: Solve for x
    x = 32,987.78/272.95
  6. Step 6: Final answer
    x = 120.86

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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.