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Finding the Fourth Proportional to 81.22, 121.90 and 50.86

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Solution

The fourth proportional to 81.22, 121.90 and 50.86 is: 76.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.22 : 121.90 = 50.86 : x
  2. Step 2: Convert to fraction form
    81.22/121.90 = 50.86/x
  3. Step 3: Cross multiply
    81.22x = 121.90 × 50.86
  4. Step 4: Simplify right side
    81.22x = 6,199.83
  5. Step 5: Solve for x
    x = 6,199.83/81.22
  6. Step 6: Final answer
    x = 76.33

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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.