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Finding the Fourth Proportional to 70.78, 105.75 and 69.49

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Solution

The fourth proportional to 70.78, 105.75 and 69.49 is: 103.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.78 : 105.75 = 69.49 : x
  2. Step 2: Convert to fraction form
    70.78/105.75 = 69.49/x
  3. Step 3: Cross multiply
    70.78x = 105.75 × 69.49
  4. Step 4: Simplify right side
    70.78x = 7,348.22
  5. Step 5: Solve for x
    x = 7,348.22/70.78
  6. Step 6: Final answer
    x = 103.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.