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Finding the Fourth Proportional to 26.27, 36.14 and 22.62

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Solution

The fourth proportional to 26.27, 36.14 and 22.62 is: 31.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.27 : 36.14 = 22.62 : x
  2. Step 2: Convert to fraction form
    26.27/36.14 = 22.62/x
  3. Step 3: Cross multiply
    26.27x = 36.14 × 22.62
  4. Step 4: Simplify right side
    26.27x = 817.49
  5. Step 5: Solve for x
    x = 817.49/26.27
  6. Step 6: Final answer
    x = 31.12

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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.