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Finding the Fourth Proportional to 26.08, 38.96 and 20.74

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Solution

The fourth proportional to 26.08, 38.96 and 20.74 is: 30.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.08 : 38.96 = 20.74 : x
  2. Step 2: Convert to fraction form
    26.08/38.96 = 20.74/x
  3. Step 3: Cross multiply
    26.08x = 38.96 × 20.74
  4. Step 4: Simplify right side
    26.08x = 808.03
  5. Step 5: Solve for x
    x = 808.03/26.08
  6. Step 6: Final answer
    x = 30.98

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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.