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Finding the Fourth Proportional to 38.98, 53.74 and 27.31

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Solution

The fourth proportional to 38.98, 53.74 and 27.31 is: 37.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.98 : 53.74 = 27.31 : x
  2. Step 2: Convert to fraction form
    38.98/53.74 = 27.31/x
  3. Step 3: Cross multiply
    38.98x = 53.74 × 27.31
  4. Step 4: Simplify right side
    38.98x = 1,467.64
  5. Step 5: Solve for x
    x = 1,467.64/38.98
  6. Step 6: Final answer
    x = 37.65

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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.