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Finding the Fourth Proportional to 276.47, 414.64 and 81.43

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Solution

The fourth proportional to 276.47, 414.64 and 81.43 is: 122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.47 : 414.64 = 81.43 : x
  2. Step 2: Convert to fraction form
    276.47/414.64 = 81.43/x
  3. Step 3: Cross multiply
    276.47x = 414.64 × 81.43
  4. Step 4: Simplify right side
    276.47x = 33,764.14
  5. Step 5: Solve for x
    x = 33,764.14/276.47
  6. Step 6: Final answer
    x = 122.13

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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.