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Finding the Fourth Proportional to 37.66, 51.96 and 34.47

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Solution

The fourth proportional to 37.66, 51.96 and 34.47 is: 47.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.66 : 51.96 = 34.47 : x
  2. Step 2: Convert to fraction form
    37.66/51.96 = 34.47/x
  3. Step 3: Cross multiply
    37.66x = 51.96 × 34.47
  4. Step 4: Simplify right side
    37.66x = 1,791.06
  5. Step 5: Solve for x
    x = 1,791.06/37.66
  6. Step 6: Final answer
    x = 47.56

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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.