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Finding the Fourth Proportional to 70.56, 105.44 and 68

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Solution

The fourth proportional to 70.56, 105.44 and 68 is: 101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.56 : 105.44 = 68 : x
  2. Step 2: Convert to fraction form
    70.56/105.44 = 68/x
  3. Step 3: Cross multiply
    70.56x = 105.44 × 68
  4. Step 4: Simplify right side
    70.56x = 7,169.92
  5. Step 5: Solve for x
    x = 7,169.92/70.56
  6. Step 6: Final answer
    x = 101.61

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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.