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Finding the Fourth Proportional to 26.07, 35.87 and 22.43

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Solution

The fourth proportional to 26.07, 35.87 and 22.43 is: 30.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.07 : 35.87 = 22.43 : x
  2. Step 2: Convert to fraction form
    26.07/35.87 = 22.43/x
  3. Step 3: Cross multiply
    26.07x = 35.87 × 22.43
  4. Step 4: Simplify right side
    26.07x = 804.27
  5. Step 5: Solve for x
    x = 804.27/26.07
  6. Step 6: Final answer
    x = 30.85

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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.