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Finding the Fourth Proportional to 37.31, 51.49 and 22.74

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Solution

The fourth proportional to 37.31, 51.49 and 22.74 is: 31.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.31 : 51.49 = 22.74 : x
  2. Step 2: Convert to fraction form
    37.31/51.49 = 22.74/x
  3. Step 3: Cross multiply
    37.31x = 51.49 × 22.74
  4. Step 4: Simplify right side
    37.31x = 1,170.88
  5. Step 5: Solve for x
    x = 1,170.88/37.31
  6. Step 6: Final answer
    x = 31.39

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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.