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Finding the Fourth Proportional to 276.45, 414.61 and 81.45

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Solution

The fourth proportional to 276.45, 414.61 and 81.45 is: 122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.45 : 414.61 = 81.45 : x
  2. Step 2: Convert to fraction form
    276.45/414.61 = 81.45/x
  3. Step 3: Cross multiply
    276.45x = 414.61 × 81.45
  4. Step 4: Simplify right side
    276.45x = 33,769.78
  5. Step 5: Solve for x
    x = 33,769.78/276.45
  6. Step 6: Final answer
    x = 122.16

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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.