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Finding the Fourth Proportional to 276.05, 414.12 and 102.74

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Solution

The fourth proportional to 276.05, 414.12 and 102.74 is: 154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.05 : 414.12 = 102.74 : x
  2. Step 2: Convert to fraction form
    276.05/414.12 = 102.74/x
  3. Step 3: Cross multiply
    276.05x = 414.12 × 102.74
  4. Step 4: Simplify right side
    276.05x = 42,546.69
  5. Step 5: Solve for x
    x = 42,546.69/276.05
  6. Step 6: Final answer
    x = 154.13

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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.