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Finding the Fourth Proportional to 5.51, 8.27 and 3.82

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Solution

The fourth proportional to 5.51, 8.27 and 3.82 is: 5.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.51 : 8.27 = 3.82 : x
  2. Step 2: Convert to fraction form
    5.51/8.27 = 3.82/x
  3. Step 3: Cross multiply
    5.51x = 8.27 × 3.82
  4. Step 4: Simplify right side
    5.51x = 31.59
  5. Step 5: Solve for x
    x = 31.59/5.51
  6. Step 6: Final answer
    x = 5.73

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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.