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Finding the Fourth Proportional to 68.74, 94.88 and 41.12

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Solution

The fourth proportional to 68.74, 94.88 and 41.12 is: 56.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.74 : 94.88 = 41.12 : x
  2. Step 2: Convert to fraction form
    68.74/94.88 = 41.12/x
  3. Step 3: Cross multiply
    68.74x = 94.88 × 41.12
  4. Step 4: Simplify right side
    68.74x = 3,901.45
  5. Step 5: Solve for x
    x = 3,901.45/68.74
  6. Step 6: Final answer
    x = 56.76

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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.