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Finding the Fourth Proportional to 69.34, 103.34 and 65.39

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Solution

The fourth proportional to 69.34, 103.34 and 65.39 is: 97.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.34 : 103.34 = 65.39 : x
  2. Step 2: Convert to fraction form
    69.34/103.34 = 65.39/x
  3. Step 3: Cross multiply
    69.34x = 103.34 × 65.39
  4. Step 4: Simplify right side
    69.34x = 6,757.40
  5. Step 5: Solve for x
    x = 6,757.40/69.34
  6. Step 6: Final answer
    x = 97.45

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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.