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Finding the Fourth Proportional to 63.05, 94.41 and 45.97

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Solution

The fourth proportional to 63.05, 94.41 and 45.97 is: 68.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.05 : 94.41 = 45.97 : x
  2. Step 2: Convert to fraction form
    63.05/94.41 = 45.97/x
  3. Step 3: Cross multiply
    63.05x = 94.41 × 45.97
  4. Step 4: Simplify right side
    63.05x = 4,340.03
  5. Step 5: Solve for x
    x = 4,340.03/63.05
  6. Step 6: Final answer
    x = 68.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.