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Finding the Fourth Proportional to 103.49, 141.88 and 96.38

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Solution

The fourth proportional to 103.49, 141.88 and 96.38 is: 132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.49 : 141.88 = 96.38 : x
  2. Step 2: Convert to fraction form
    103.49/141.88 = 96.38/x
  3. Step 3: Cross multiply
    103.49x = 141.88 × 96.38
  4. Step 4: Simplify right side
    103.49x = 13,674.39
  5. Step 5: Solve for x
    x = 13,674.39/103.49
  6. Step 6: Final answer
    x = 132.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.