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Finding the Fourth Proportional to 38.31, 56.97 and 37.23

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Solution

The fourth proportional to 38.31, 56.97 and 37.23 is: 55.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.31 : 56.97 = 37.23 : x
  2. Step 2: Convert to fraction form
    38.31/56.97 = 37.23/x
  3. Step 3: Cross multiply
    38.31x = 56.97 × 37.23
  4. Step 4: Simplify right side
    38.31x = 2,120.99
  5. Step 5: Solve for x
    x = 2,120.99/38.31
  6. Step 6: Final answer
    x = 55.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.