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Finding the Fourth Proportional to 276.90, 415.31 and 81.86

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Solution

The fourth proportional to 276.90, 415.31 and 81.86 is: 122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.90 : 415.31 = 81.86 : x
  2. Step 2: Convert to fraction form
    276.90/415.31 = 81.86/x
  3. Step 3: Cross multiply
    276.90x = 415.31 × 81.86
  4. Step 4: Simplify right side
    276.90x = 33,994.79
  5. Step 5: Solve for x
    x = 33,994.79/276.90
  6. Step 6: Final answer
    x = 122.77

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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.