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Finding the Fourth Proportional to 272.74, 409.04 and 77.76

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Solution

The fourth proportional to 272.74, 409.04 and 77.76 is: 116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.74 : 409.04 = 77.76 : x
  2. Step 2: Convert to fraction form
    272.74/409.04 = 77.76/x
  3. Step 3: Cross multiply
    272.74x = 409.04 × 77.76
  4. Step 4: Simplify right side
    272.74x = 31,806.95
  5. Step 5: Solve for x
    x = 31,806.95/272.74
  6. Step 6: Final answer
    x = 116.62

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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.