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Finding the Fourth Proportional to 81.23, 111.86 and 76.05

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Solution

The fourth proportional to 81.23, 111.86 and 76.05 is: 104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.23 : 111.86 = 76.05 : x
  2. Step 2: Convert to fraction form
    81.23/111.86 = 76.05/x
  3. Step 3: Cross multiply
    81.23x = 111.86 × 76.05
  4. Step 4: Simplify right side
    81.23x = 8,506.57
  5. Step 5: Solve for x
    x = 8,506.57/81.23
  6. Step 6: Final answer
    x = 104.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.