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Finding the Fourth Proportional to 3.99, 5.96 and 3.65

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Solution

The fourth proportional to 3.99, 5.96 and 3.65 is: 5.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.99 : 5.96 = 3.65 : x
  2. Step 2: Convert to fraction form
    3.99/5.96 = 3.65/x
  3. Step 3: Cross multiply
    3.99x = 5.96 × 3.65
  4. Step 4: Simplify right side
    3.99x = 21.71
  5. Step 5: Solve for x
    x = 21.71/3.99
  6. Step 6: Final answer
    x = 5.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.