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Finding the Fourth Proportional to 276.08, 414.13 and 102.74

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Solution

The fourth proportional to 276.08, 414.13 and 102.74 is: 154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.08 : 414.13 = 102.74 : x
  2. Step 2: Convert to fraction form
    276.08/414.13 = 102.74/x
  3. Step 3: Cross multiply
    276.08x = 414.13 × 102.74
  4. Step 4: Simplify right side
    276.08x = 42,548.49
  5. Step 5: Solve for x
    x = 42,548.49/276.08
  6. Step 6: Final answer
    x = 154.12

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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.