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Finding the Fourth Proportional to 102.75, 141.69 and 83.04

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Solution

The fourth proportional to 102.75, 141.69 and 83.04 is: 114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.75 : 141.69 = 83.04 : x
  2. Step 2: Convert to fraction form
    102.75/141.69 = 83.04/x
  3. Step 3: Cross multiply
    102.75x = 141.69 × 83.04
  4. Step 4: Simplify right side
    102.75x = 11,765.94
  5. Step 5: Solve for x
    x = 11,765.94/102.75
  6. Step 6: Final answer
    x = 114.51

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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.