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Finding the Fourth Proportional to 103.38, 142.34 and 96.50

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Solution

The fourth proportional to 103.38, 142.34 and 96.50 is: 132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.38 : 142.34 = 96.50 : x
  2. Step 2: Convert to fraction form
    103.38/142.34 = 96.50/x
  3. Step 3: Cross multiply
    103.38x = 142.34 × 96.50
  4. Step 4: Simplify right side
    103.38x = 13,734.62
  5. Step 5: Solve for x
    x = 13,734.62/103.38
  6. Step 6: Final answer
    x = 132.86

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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.