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Finding the Fourth Proportional to 70.82, 106.22 and 27.48

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Solution

The fourth proportional to 70.82, 106.22 and 27.48 is: 41.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.82 : 106.22 = 27.48 : x
  2. Step 2: Convert to fraction form
    70.82/106.22 = 27.48/x
  3. Step 3: Cross multiply
    70.82x = 106.22 × 27.48
  4. Step 4: Simplify right side
    70.82x = 2,918.93
  5. Step 5: Solve for x
    x = 2,918.93/70.82
  6. Step 6: Final answer
    x = 41.22

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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.