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Finding the Fourth Proportional to 3.94, 5.91 and 1.69

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Solution

The fourth proportional to 3.94, 5.91 and 1.69 is: 2.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.94 : 5.91 = 1.69 : x
  2. Step 2: Convert to fraction form
    3.94/5.91 = 1.69/x
  3. Step 3: Cross multiply
    3.94x = 5.91 × 1.69
  4. Step 4: Simplify right side
    3.94x = 9.98
  5. Step 5: Solve for x
    x = 9.98/3.94
  6. Step 6: Final answer
    x = 2.53

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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.