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Finding the Fourth Proportional to 47.68, 65.82 and 28.27

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Solution

The fourth proportional to 47.68, 65.82 and 28.27 is: 39.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.68 : 65.82 = 28.27 : x
  2. Step 2: Convert to fraction form
    47.68/65.82 = 28.27/x
  3. Step 3: Cross multiply
    47.68x = 65.82 × 28.27
  4. Step 4: Simplify right side
    47.68x = 1,860.73
  5. Step 5: Solve for x
    x = 1,860.73/47.68
  6. Step 6: Final answer
    x = 39.03

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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.