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Finding the Fourth Proportional to 103.72, 154.82 and 83.22

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Solution

The fourth proportional to 103.72, 154.82 and 83.22 is: 124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.72 : 154.82 = 83.22 : x
  2. Step 2: Convert to fraction form
    103.72/154.82 = 83.22/x
  3. Step 3: Cross multiply
    103.72x = 154.82 × 83.22
  4. Step 4: Simplify right side
    103.72x = 12,884.12
  5. Step 5: Solve for x
    x = 12,884.12/103.72
  6. Step 6: Final answer
    x = 124.22

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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.