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Finding the Fourth Proportional to 26.09, 38.94 and 24.21

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Solution

The fourth proportional to 26.09, 38.94 and 24.21 is: 36.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.09 : 38.94 = 24.21 : x
  2. Step 2: Convert to fraction form
    26.09/38.94 = 24.21/x
  3. Step 3: Cross multiply
    26.09x = 38.94 × 24.21
  4. Step 4: Simplify right side
    26.09x = 942.83
  5. Step 5: Solve for x
    x = 942.83/26.09
  6. Step 6: Final answer
    x = 36.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.