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Finding the Fourth Proportional to 70.78, 106.17 and 19.43

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Solution

The fourth proportional to 70.78, 106.17 and 19.43 is: 29.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.78 : 106.17 = 19.43 : x
  2. Step 2: Convert to fraction form
    70.78/106.17 = 19.43/x
  3. Step 3: Cross multiply
    70.78x = 106.17 × 19.43
  4. Step 4: Simplify right side
    70.78x = 2,062.94
  5. Step 5: Solve for x
    x = 2,062.94/70.78
  6. Step 6: Final answer
    x = 29.15

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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.