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Finding the Fourth Proportional to 17.82, 26.55 and 17.71

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Solution

The fourth proportional to 17.82, 26.55 and 17.71 is: 26.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.82 : 26.55 = 17.71 : x
  2. Step 2: Convert to fraction form
    17.82/26.55 = 17.71/x
  3. Step 3: Cross multiply
    17.82x = 26.55 × 17.71
  4. Step 4: Simplify right side
    17.82x = 470.20
  5. Step 5: Solve for x
    x = 470.20/17.82
  6. Step 6: Final answer
    x = 26.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.