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Finding the Fourth Proportional to 103.28, 155.52 and 83.03

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Solution

The fourth proportional to 103.28, 155.52 and 83.03 is: 125.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.28 : 155.52 = 83.03 : x
  2. Step 2: Convert to fraction form
    103.28/155.52 = 83.03/x
  3. Step 3: Cross multiply
    103.28x = 155.52 × 83.03
  4. Step 4: Simplify right side
    103.28x = 12,912.05
  5. Step 5: Solve for x
    x = 12,912.05/103.28
  6. Step 6: Final answer
    x = 125.03

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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.