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Finding the Fourth Proportional to 47.94, 71.84 and 27.65

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Solution

The fourth proportional to 47.94, 71.84 and 27.65 is: 41.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.94 : 71.84 = 27.65 : x
  2. Step 2: Convert to fraction form
    47.94/71.84 = 27.65/x
  3. Step 3: Cross multiply
    47.94x = 71.84 × 27.65
  4. Step 4: Simplify right side
    47.94x = 1,985.88
  5. Step 5: Solve for x
    x = 1,985.88/47.94
  6. Step 6: Final answer
    x = 41.42

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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.