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Finding the Fourth Proportional to 26.16, 36.09 and 22.44

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Solution

The fourth proportional to 26.16, 36.09 and 22.44 is: 30.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.16 : 36.09 = 22.44 : x
  2. Step 2: Convert to fraction form
    26.16/36.09 = 22.44/x
  3. Step 3: Cross multiply
    26.16x = 36.09 × 22.44
  4. Step 4: Simplify right side
    26.16x = 809.86
  5. Step 5: Solve for x
    x = 809.86/26.16
  6. Step 6: Final answer
    x = 30.96

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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.