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Finding the Fourth Proportional to 276.13, 414.19 and 83.75

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Solution

The fourth proportional to 276.13, 414.19 and 83.75 is: 125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.13 : 414.19 = 83.75 : x
  2. Step 2: Convert to fraction form
    276.13/414.19 = 83.75/x
  3. Step 3: Cross multiply
    276.13x = 414.19 × 83.75
  4. Step 4: Simplify right side
    276.13x = 34,688.41
  5. Step 5: Solve for x
    x = 34,688.41/276.13
  6. Step 6: Final answer
    x = 125.63

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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.