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Finding the Fourth Proportional to 103.85, 155.02 and 96.34

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Solution

The fourth proportional to 103.85, 155.02 and 96.34 is: 143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.85 : 155.02 = 96.34 : x
  2. Step 2: Convert to fraction form
    103.85/155.02 = 96.34/x
  3. Step 3: Cross multiply
    103.85x = 155.02 × 96.34
  4. Step 4: Simplify right side
    103.85x = 14,934.63
  5. Step 5: Solve for x
    x = 14,934.63/103.85
  6. Step 6: Final answer
    x = 143.81

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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.