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Finding the Fourth Proportional to 70.82, 106.24 and 22.72

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Solution

The fourth proportional to 70.82, 106.24 and 22.72 is: 34.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.82 : 106.24 = 22.72 : x
  2. Step 2: Convert to fraction form
    70.82/106.24 = 22.72/x
  3. Step 3: Cross multiply
    70.82x = 106.24 × 22.72
  4. Step 4: Simplify right side
    70.82x = 2,413.77
  5. Step 5: Solve for x
    x = 2,413.77/70.82
  6. Step 6: Final answer
    x = 34.09

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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.