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Finding the Fourth Proportional to 69.72, 103.96 and 68.23

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Solution

The fourth proportional to 69.72, 103.96 and 68.23 is: 101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.72 : 103.96 = 68.23 : x
  2. Step 2: Convert to fraction form
    69.72/103.96 = 68.23/x
  3. Step 3: Cross multiply
    69.72x = 103.96 × 68.23
  4. Step 4: Simplify right side
    69.72x = 7,093.19
  5. Step 5: Solve for x
    x = 7,093.19/69.72
  6. Step 6: Final answer
    x = 101.74

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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.