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Finding the Fourth Proportional to 17.71, 26.36 and 17.66

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Solution

The fourth proportional to 17.71, 26.36 and 17.66 is: 26.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.71 : 26.36 = 17.66 : x
  2. Step 2: Convert to fraction form
    17.71/26.36 = 17.66/x
  3. Step 3: Cross multiply
    17.71x = 26.36 × 17.66
  4. Step 4: Simplify right side
    17.71x = 465.30
  5. Step 5: Solve for x
    x = 465.30/17.71
  6. Step 6: Final answer
    x = 26.28

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Why These Related Problems?

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