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Finding the Fourth Proportional to 3.68, 5.09 and 2.77

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Solution

The fourth proportional to 3.68, 5.09 and 2.77 is: 3.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.68 : 5.09 = 2.77 : x
  2. Step 2: Convert to fraction form
    3.68/5.09 = 2.77/x
  3. Step 3: Cross multiply
    3.68x = 5.09 × 2.77
  4. Step 4: Simplify right side
    3.68x = 14.10
  5. Step 5: Solve for x
    x = 14.10/3.68
  6. Step 6: Final answer
    x = 3.83

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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.