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Finding the Fourth Proportional to 70.82, 106.22 and 19.46

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Solution

The fourth proportional to 70.82, 106.22 and 19.46 is: 29.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.82 : 106.22 = 19.46 : x
  2. Step 2: Convert to fraction form
    70.82/106.22 = 19.46/x
  3. Step 3: Cross multiply
    70.82x = 106.22 × 19.46
  4. Step 4: Simplify right side
    70.82x = 2,067.04
  5. Step 5: Solve for x
    x = 2,067.04/70.82
  6. Step 6: Final answer
    x = 29.19

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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.