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Finding the Fourth Proportional to 38.74, 58.17 and 32.80

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Solution

The fourth proportional to 38.74, 58.17 and 32.80 is: 49.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.74 : 58.17 = 32.80 : x
  2. Step 2: Convert to fraction form
    38.74/58.17 = 32.80/x
  3. Step 3: Cross multiply
    38.74x = 58.17 × 32.80
  4. Step 4: Simplify right side
    38.74x = 1,907.98
  5. Step 5: Solve for x
    x = 1,907.98/38.74
  6. Step 6: Final answer
    x = 49.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.