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Finding the Fourth Proportional to 70.81, 105.64 and 67.55

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Solution

The fourth proportional to 70.81, 105.64 and 67.55 is: 100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.81 : 105.64 = 67.55 : x
  2. Step 2: Convert to fraction form
    70.81/105.64 = 67.55/x
  3. Step 3: Cross multiply
    70.81x = 105.64 × 67.55
  4. Step 4: Simplify right side
    70.81x = 7,135.98
  5. Step 5: Solve for x
    x = 7,135.98/70.81
  6. Step 6: Final answer
    x = 100.78

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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.