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Finding the Fourth Proportional to 46.69, 69.89 and 40.69

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Solution

The fourth proportional to 46.69, 69.89 and 40.69 is: 60.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.69 : 69.89 = 40.69 : x
  2. Step 2: Convert to fraction form
    46.69/69.89 = 40.69/x
  3. Step 3: Cross multiply
    46.69x = 69.89 × 40.69
  4. Step 4: Simplify right side
    46.69x = 2,843.27
  5. Step 5: Solve for x
    x = 2,843.27/46.69
  6. Step 6: Final answer
    x = 60.90

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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.