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Finding the Fourth Proportional to 17.66, 26.64 and 16.82

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Solution

The fourth proportional to 17.66, 26.64 and 16.82 is: 25.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.66 : 26.64 = 16.82 : x
  2. Step 2: Convert to fraction form
    17.66/26.64 = 16.82/x
  3. Step 3: Cross multiply
    17.66x = 26.64 × 16.82
  4. Step 4: Simplify right side
    17.66x = 448.08
  5. Step 5: Solve for x
    x = 448.08/17.66
  6. Step 6: Final answer
    x = 25.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.