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Finding the Fourth Proportional to 69.94, 104.95 and 49.69

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Solution

The fourth proportional to 69.94, 104.95 and 49.69 is: 74.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.94 : 104.95 = 49.69 : x
  2. Step 2: Convert to fraction form
    69.94/104.95 = 49.69/x
  3. Step 3: Cross multiply
    69.94x = 104.95 × 49.69
  4. Step 4: Simplify right side
    69.94x = 5,214.44
  5. Step 5: Solve for x
    x = 5,214.44/69.94
  6. Step 6: Final answer
    x = 74.56

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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.