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Finding the Fourth Proportional to 49.99, 69.03 and 39.69

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Solution

The fourth proportional to 49.99, 69.03 and 39.69 is: 54.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.99 : 69.03 = 39.69 : x
  2. Step 2: Convert to fraction form
    49.99/69.03 = 39.69/x
  3. Step 3: Cross multiply
    49.99x = 69.03 × 39.69
  4. Step 4: Simplify right side
    49.99x = 2,739.69
  5. Step 5: Solve for x
    x = 2,739.69/49.99
  6. Step 6: Final answer
    x = 54.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.