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Finding the Fourth Proportional to 27.71, 38.24 and 25.73

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Solution

The fourth proportional to 27.71, 38.24 and 25.73 is: 35.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.71 : 38.24 = 25.73 : x
  2. Step 2: Convert to fraction form
    27.71/38.24 = 25.73/x
  3. Step 3: Cross multiply
    27.71x = 38.24 × 25.73
  4. Step 4: Simplify right side
    27.71x = 983.79
  5. Step 5: Solve for x
    x = 983.79/27.71
  6. Step 6: Final answer
    x = 35.50

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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.