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Finding the Fourth Proportional to 81.30, 111.78 and 68.95

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Solution

The fourth proportional to 81.30, 111.78 and 68.95 is: 94.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.30 : 111.78 = 68.95 : x
  2. Step 2: Convert to fraction form
    81.30/111.78 = 68.95/x
  3. Step 3: Cross multiply
    81.30x = 111.78 × 68.95
  4. Step 4: Simplify right side
    81.30x = 7,707.37
  5. Step 5: Solve for x
    x = 7,707.37/81.30
  6. Step 6: Final answer
    x = 94.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.