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Finding the Fourth Proportional to 70.75, 105.99 and 63.73

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Solution

The fourth proportional to 70.75, 105.99 and 63.73 is: 95.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.75 : 105.99 = 63.73 : x
  2. Step 2: Convert to fraction form
    70.75/105.99 = 63.73/x
  3. Step 3: Cross multiply
    70.75x = 105.99 × 63.73
  4. Step 4: Simplify right side
    70.75x = 6,754.74
  5. Step 5: Solve for x
    x = 6,754.74/70.75
  6. Step 6: Final answer
    x = 95.47

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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.