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Finding the Fourth Proportional to 34.41, 46.83 and 34.27

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Solution

The fourth proportional to 34.41, 46.83 and 34.27 is: 46.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.41 : 46.83 = 34.27 : x
  2. Step 2: Convert to fraction form
    34.41/46.83 = 34.27/x
  3. Step 3: Cross multiply
    34.41x = 46.83 × 34.27
  4. Step 4: Simplify right side
    34.41x = 1,604.86
  5. Step 5: Solve for x
    x = 1,604.86/34.41
  6. Step 6: Final answer
    x = 46.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.