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Finding the Fourth Proportional to 70.73, 106.90 and 69.54

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Solution

The fourth proportional to 70.73, 106.90 and 69.54 is: 105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.73 : 106.90 = 69.54 : x
  2. Step 2: Convert to fraction form
    70.73/106.90 = 69.54/x
  3. Step 3: Cross multiply
    70.73x = 106.90 × 69.54
  4. Step 4: Simplify right side
    70.73x = 7,433.83
  5. Step 5: Solve for x
    x = 7,433.83/70.73
  6. Step 6: Final answer
    x = 105.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.