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Finding the Fourth Proportional to 26.92, 40.32 and 21.20

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Solution

The fourth proportional to 26.92, 40.32 and 21.20 is: 31.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.92 : 40.32 = 21.20 : x
  2. Step 2: Convert to fraction form
    26.92/40.32 = 21.20/x
  3. Step 3: Cross multiply
    26.92x = 40.32 × 21.20
  4. Step 4: Simplify right side
    26.92x = 854.86
  5. Step 5: Solve for x
    x = 854.86/26.92
  6. Step 6: Final answer
    x = 31.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.