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Finding the Fourth Proportional to 26.82, 37.04 and 24.66

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Solution

The fourth proportional to 26.82, 37.04 and 24.66 is: 34.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.82 : 37.04 = 24.66 : x
  2. Step 2: Convert to fraction form
    26.82/37.04 = 24.66/x
  3. Step 3: Cross multiply
    26.82x = 37.04 × 24.66
  4. Step 4: Simplify right side
    26.82x = 913.41
  5. Step 5: Solve for x
    x = 913.41/26.82
  6. Step 6: Final answer
    x = 34.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.