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Finding the Fourth Proportional to 17.82, 26.70 and 7.66

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Solution

The fourth proportional to 17.82, 26.70 and 7.66 is: 11.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.82 : 26.70 = 7.66 : x
  2. Step 2: Convert to fraction form
    17.82/26.70 = 7.66/x
  3. Step 3: Cross multiply
    17.82x = 26.70 × 7.66
  4. Step 4: Simplify right side
    17.82x = 204.52
  5. Step 5: Solve for x
    x = 204.52/17.82
  6. Step 6: Final answer
    x = 11.48

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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.