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Finding the Fourth Proportional to 69.23, 104.45 and 68.42

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Solution

The fourth proportional to 69.23, 104.45 and 68.42 is: 103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.23 : 104.45 = 68.42 : x
  2. Step 2: Convert to fraction form
    69.23/104.45 = 68.42/x
  3. Step 3: Cross multiply
    69.23x = 104.45 × 68.42
  4. Step 4: Simplify right side
    69.23x = 7,146.47
  5. Step 5: Solve for x
    x = 7,146.47/69.23
  6. Step 6: Final answer
    x = 103.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.