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Finding the Fourth Proportional to 26.80, 40.20 and 9.68

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Solution

The fourth proportional to 26.80, 40.20 and 9.68 is: 14.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.80 : 40.20 = 9.68 : x
  2. Step 2: Convert to fraction form
    26.80/40.20 = 9.68/x
  3. Step 3: Cross multiply
    26.80x = 40.20 × 9.68
  4. Step 4: Simplify right side
    26.80x = 389.14
  5. Step 5: Solve for x
    x = 389.14/26.80
  6. Step 6: Final answer
    x = 14.52

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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.