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Finding the Fourth Proportional to 83.41, 115.19 and 67.08

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Solution

The fourth proportional to 83.41, 115.19 and 67.08 is: 92.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.41 : 115.19 = 67.08 : x
  2. Step 2: Convert to fraction form
    83.41/115.19 = 67.08/x
  3. Step 3: Cross multiply
    83.41x = 115.19 × 67.08
  4. Step 4: Simplify right side
    83.41x = 7,726.95
  5. Step 5: Solve for x
    x = 7,726.95/83.41
  6. Step 6: Final answer
    x = 92.64

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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.