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Finding the Fourth Proportional to 103.93, 155.93 and 83.21

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Solution

The fourth proportional to 103.93, 155.93 and 83.21 is: 124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.93 : 155.93 = 83.21 : x
  2. Step 2: Convert to fraction form
    103.93/155.93 = 83.21/x
  3. Step 3: Cross multiply
    103.93x = 155.93 × 83.21
  4. Step 4: Simplify right side
    103.93x = 12,974.91
  5. Step 5: Solve for x
    x = 12,974.91/103.93
  6. Step 6: Final answer
    x = 124.85

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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.