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Finding the Fourth Proportional to 70.75, 105.97 and 40.27

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Solution

The fourth proportional to 70.75, 105.97 and 40.27 is: 60.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.75 : 105.97 = 40.27 : x
  2. Step 2: Convert to fraction form
    70.75/105.97 = 40.27/x
  3. Step 3: Cross multiply
    70.75x = 105.97 × 40.27
  4. Step 4: Simplify right side
    70.75x = 4,267.41
  5. Step 5: Solve for x
    x = 4,267.41/70.75
  6. Step 6: Final answer
    x = 60.32

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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.