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Finding the Fourth Proportional to 3.61, 4.99 and 2.08

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Solution

The fourth proportional to 3.61, 4.99 and 2.08 is: 2.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.61 : 4.99 = 2.08 : x
  2. Step 2: Convert to fraction form
    3.61/4.99 = 2.08/x
  3. Step 3: Cross multiply
    3.61x = 4.99 × 2.08
  4. Step 4: Simplify right side
    3.61x = 10.36
  5. Step 5: Solve for x
    x = 10.36/3.61
  6. Step 6: Final answer
    x = 2.87

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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.