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Finding the Fourth Proportional to 38.88, 58.25 and 21.74

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Solution

The fourth proportional to 38.88, 58.25 and 21.74 is: 32.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.88 : 58.25 = 21.74 : x
  2. Step 2: Convert to fraction form
    38.88/58.25 = 21.74/x
  3. Step 3: Cross multiply
    38.88x = 58.25 × 21.74
  4. Step 4: Simplify right side
    38.88x = 1,266.12
  5. Step 5: Solve for x
    x = 1,266.12/38.88
  6. Step 6: Final answer
    x = 32.56

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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.