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Finding the Fourth Proportional to 26.22, 36.11 and 22.94

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Solution

The fourth proportional to 26.22, 36.11 and 22.94 is: 31.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.22 : 36.11 = 22.94 : x
  2. Step 2: Convert to fraction form
    26.22/36.11 = 22.94/x
  3. Step 3: Cross multiply
    26.22x = 36.11 × 22.94
  4. Step 4: Simplify right side
    26.22x = 828.24
  5. Step 5: Solve for x
    x = 828.24/26.22
  6. Step 6: Final answer
    x = 31.59

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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.