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Finding the Fourth Proportional to 102.33, 140.19 and 96.87

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Solution

The fourth proportional to 102.33, 140.19 and 96.87 is: 132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.33 : 140.19 = 96.87 : x
  2. Step 2: Convert to fraction form
    102.33/140.19 = 96.87/x
  3. Step 3: Cross multiply
    102.33x = 140.19 × 96.87
  4. Step 4: Simplify right side
    102.33x = 13,580.21
  5. Step 5: Solve for x
    x = 13,580.21/102.33
  6. Step 6: Final answer
    x = 132.71

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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.