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Finding the Fourth Proportional to 26.23, 36.08 and 24.31

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Solution

The fourth proportional to 26.23, 36.08 and 24.31 is: 33.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.23 : 36.08 = 24.31 : x
  2. Step 2: Convert to fraction form
    26.23/36.08 = 24.31/x
  3. Step 3: Cross multiply
    26.23x = 36.08 × 24.31
  4. Step 4: Simplify right side
    26.23x = 876.92
  5. Step 5: Solve for x
    x = 876.92/26.23
  6. Step 6: Final answer
    x = 33.44

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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.