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Finding the Fourth Proportional to 26.78, 40.10 and 13.22

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Solution

The fourth proportional to 26.78, 40.10 and 13.22 is: 19.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.78 : 40.10 = 13.22 : x
  2. Step 2: Convert to fraction form
    26.78/40.10 = 13.22/x
  3. Step 3: Cross multiply
    26.78x = 40.10 × 13.22
  4. Step 4: Simplify right side
    26.78x = 530.08
  5. Step 5: Solve for x
    x = 530.08/26.78
  6. Step 6: Final answer
    x = 19.80

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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.