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Finding the Fourth Proportional to 103.49, 155.53 and 67.64

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Solution

The fourth proportional to 103.49, 155.53 and 67.64 is: 101.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.49 : 155.53 = 67.64 : x
  2. Step 2: Convert to fraction form
    103.49/155.53 = 67.64/x
  3. Step 3: Cross multiply
    103.49x = 155.53 × 67.64
  4. Step 4: Simplify right side
    103.49x = 10,520.05
  5. Step 5: Solve for x
    x = 10,520.05/103.49
  6. Step 6: Final answer
    x = 101.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.