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Finding the Fourth Proportional to 26.57, 36.62 and 22.46

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Solution

The fourth proportional to 26.57, 36.62 and 22.46 is: 30.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.57 : 36.62 = 22.46 : x
  2. Step 2: Convert to fraction form
    26.57/36.62 = 22.46/x
  3. Step 3: Cross multiply
    26.57x = 36.62 × 22.46
  4. Step 4: Simplify right side
    26.57x = 822.63
  5. Step 5: Solve for x
    x = 822.63/26.57
  6. Step 6: Final answer
    x = 30.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.