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Finding the Fourth Proportional to 25.27, 37.90 and 17.71

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Solution

The fourth proportional to 25.27, 37.90 and 17.71 is: 26.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.27 : 37.90 = 17.71 : x
  2. Step 2: Convert to fraction form
    25.27/37.90 = 17.71/x
  3. Step 3: Cross multiply
    25.27x = 37.90 × 17.71
  4. Step 4: Simplify right side
    25.27x = 670.93
  5. Step 5: Solve for x
    x = 670.93/25.27
  6. Step 6: Final answer
    x = 26.56

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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.