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Finding the Fourth Proportional to 26.09, 35.97 and 22.64

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Solution

The fourth proportional to 26.09, 35.97 and 22.64 is: 31.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.09 : 35.97 = 22.64 : x
  2. Step 2: Convert to fraction form
    26.09/35.97 = 22.64/x
  3. Step 3: Cross multiply
    26.09x = 35.97 × 22.64
  4. Step 4: Simplify right side
    26.09x = 814.18
  5. Step 5: Solve for x
    x = 814.18/26.09
  6. Step 6: Final answer
    x = 31.21

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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.