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Finding the Fourth Proportional to 68.15, 94.07 and 41.92

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Solution

The fourth proportional to 68.15, 94.07 and 41.92 is: 57.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.15 : 94.07 = 41.92 : x
  2. Step 2: Convert to fraction form
    68.15/94.07 = 41.92/x
  3. Step 3: Cross multiply
    68.15x = 94.07 × 41.92
  4. Step 4: Simplify right side
    68.15x = 3,943.41
  5. Step 5: Solve for x
    x = 3,943.41/68.15
  6. Step 6: Final answer
    x = 57.86

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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.