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Finding the Fourth Proportional to 26.82, 37.14 and 26.34

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Solution

The fourth proportional to 26.82, 37.14 and 26.34 is: 36.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.82 : 37.14 = 26.34 : x
  2. Step 2: Convert to fraction form
    26.82/37.14 = 26.34/x
  3. Step 3: Cross multiply
    26.82x = 37.14 × 26.34
  4. Step 4: Simplify right side
    26.82x = 978.27
  5. Step 5: Solve for x
    x = 978.27/26.82
  6. Step 6: Final answer
    x = 36.48

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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.