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Finding the Fourth Proportional to 26.78, 40.20 and 21.46

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Solution

The fourth proportional to 26.78, 40.20 and 21.46 is: 32.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.78 : 40.20 = 21.46 : x
  2. Step 2: Convert to fraction form
    26.78/40.20 = 21.46/x
  3. Step 3: Cross multiply
    26.78x = 40.20 × 21.46
  4. Step 4: Simplify right side
    26.78x = 862.69
  5. Step 5: Solve for x
    x = 862.69/26.78
  6. Step 6: Final answer
    x = 32.21

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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.