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Finding the Fourth Proportional to 26.35, 36.31 and 23.61

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Solution

The fourth proportional to 26.35, 36.31 and 23.61 is: 32.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.35 : 36.31 = 23.61 : x
  2. Step 2: Convert to fraction form
    26.35/36.31 = 23.61/x
  3. Step 3: Cross multiply
    26.35x = 36.31 × 23.61
  4. Step 4: Simplify right side
    26.35x = 857.31
  5. Step 5: Solve for x
    x = 857.31/26.35
  6. Step 6: Final answer
    x = 32.54

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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.