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Finding the Fourth Proportional to 69.43, 103.42 and 69.03

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Solution

The fourth proportional to 69.43, 103.42 and 69.03 is: 102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.43 : 103.42 = 69.03 : x
  2. Step 2: Convert to fraction form
    69.43/103.42 = 69.03/x
  3. Step 3: Cross multiply
    69.43x = 103.42 × 69.03
  4. Step 4: Simplify right side
    69.43x = 7,139.08
  5. Step 5: Solve for x
    x = 7,139.08/69.43
  6. Step 6: Final answer
    x = 102.82

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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.