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Finding the Fourth Proportional to 46.50, 69.81 and 33.09

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Solution

The fourth proportional to 46.50, 69.81 and 33.09 is: 49.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.50 : 69.81 = 33.09 : x
  2. Step 2: Convert to fraction form
    46.50/69.81 = 33.09/x
  3. Step 3: Cross multiply
    46.50x = 69.81 × 33.09
  4. Step 4: Simplify right side
    46.50x = 2,310.01
  5. Step 5: Solve for x
    x = 2,310.01/46.50
  6. Step 6: Final answer
    x = 49.68

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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.