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Finding the Fourth Proportional to 25.29, 37.96 and 17.71

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Solution

The fourth proportional to 25.29, 37.96 and 17.71 is: 26.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.29 : 37.96 = 17.71 : x
  2. Step 2: Convert to fraction form
    25.29/37.96 = 17.71/x
  3. Step 3: Cross multiply
    25.29x = 37.96 × 17.71
  4. Step 4: Simplify right side
    25.29x = 672.13
  5. Step 5: Solve for x
    x = 672.13/25.29
  6. Step 6: Final answer
    x = 26.58

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