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Finding the Fourth Proportional to 276.54, 414.86 and 81.54

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Solution

The fourth proportional to 276.54, 414.86 and 81.54 is: 122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.54 : 414.86 = 81.54 : x
  2. Step 2: Convert to fraction form
    276.54/414.86 = 81.54/x
  3. Step 3: Cross multiply
    276.54x = 414.86 × 81.54
  4. Step 4: Simplify right side
    276.54x = 33,829.13
  5. Step 5: Solve for x
    x = 33,829.13/276.54
  6. Step 6: Final answer
    x = 122.33

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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.