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Finding the Fourth Proportional to 272.70, 409.08 and 77.72

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Solution

The fourth proportional to 272.70, 409.08 and 77.72 is: 116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.70 : 409.08 = 77.72 : x
  2. Step 2: Convert to fraction form
    272.70/409.08 = 77.72/x
  3. Step 3: Cross multiply
    272.70x = 409.08 × 77.72
  4. Step 4: Simplify right side
    272.70x = 31,793.70
  5. Step 5: Solve for x
    x = 31,793.70/272.70
  6. Step 6: Final answer
    x = 116.59

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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.