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Finding the Fourth Proportional to 103.75, 142.83 and 96.85

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Solution

The fourth proportional to 103.75, 142.83 and 96.85 is: 133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.75 : 142.83 = 96.85 : x
  2. Step 2: Convert to fraction form
    103.75/142.83 = 96.85/x
  3. Step 3: Cross multiply
    103.75x = 142.83 × 96.85
  4. Step 4: Simplify right side
    103.75x = 13,833.67
  5. Step 5: Solve for x
    x = 13,833.67/103.75
  6. Step 6: Final answer
    x = 133.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.