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Finding the Fourth Proportional to 276.07, 414.12 and 83.68

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Solution

The fourth proportional to 276.07, 414.12 and 83.68 is: 125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.07 : 414.12 = 83.68 : x
  2. Step 2: Convert to fraction form
    276.07/414.12 = 83.68/x
  3. Step 3: Cross multiply
    276.07x = 414.12 × 83.68
  4. Step 4: Simplify right side
    276.07x = 34,653.56
  5. Step 5: Solve for x
    x = 34,653.56/276.07
  6. Step 6: Final answer
    x = 125.52

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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.