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Finding the Fourth Proportional to 26.24, 39.41 and 19.46

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Solution

The fourth proportional to 26.24, 39.41 and 19.46 is: 29.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.24 : 39.41 = 19.46 : x
  2. Step 2: Convert to fraction form
    26.24/39.41 = 19.46/x
  3. Step 3: Cross multiply
    26.24x = 39.41 × 19.46
  4. Step 4: Simplify right side
    26.24x = 766.62
  5. Step 5: Solve for x
    x = 766.62/26.24
  6. Step 6: Final answer
    x = 29.22

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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.