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Finding the Fourth Proportional to 276.07, 414.10 and 83.69

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Solution

The fourth proportional to 276.07, 414.10 and 83.69 is: 125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.07 : 414.10 = 83.69 : x
  2. Step 2: Convert to fraction form
    276.07/414.10 = 83.69/x
  3. Step 3: Cross multiply
    276.07x = 414.10 × 83.69
  4. Step 4: Simplify right side
    276.07x = 34,655.61
  5. Step 5: Solve for x
    x = 34,655.61/276.07
  6. Step 6: Final answer
    x = 125.53

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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.