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Finding the Fourth Proportional to 47.91, 66.08 and 36.97

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Solution

The fourth proportional to 47.91, 66.08 and 36.97 is: 50.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.91 : 66.08 = 36.97 : x
  2. Step 2: Convert to fraction form
    47.91/66.08 = 36.97/x
  3. Step 3: Cross multiply
    47.91x = 66.08 × 36.97
  4. Step 4: Simplify right side
    47.91x = 2,442.98
  5. Step 5: Solve for x
    x = 2,442.98/47.91
  6. Step 6: Final answer
    x = 50.99

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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.