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Finding the Fourth Proportional to 37.73, 51.98 and 34.22

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Solution

The fourth proportional to 37.73, 51.98 and 34.22 is: 47.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.73 : 51.98 = 34.22 : x
  2. Step 2: Convert to fraction form
    37.73/51.98 = 34.22/x
  3. Step 3: Cross multiply
    37.73x = 51.98 × 34.22
  4. Step 4: Simplify right side
    37.73x = 1,778.71
  5. Step 5: Solve for x
    x = 1,778.71/37.73
  6. Step 6: Final answer
    x = 47.14

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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.