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Finding the Fourth Proportional to 102.82, 141.75 and 75.19

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Solution

The fourth proportional to 102.82, 141.75 and 75.19 is: 103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.82 : 141.75 = 75.19 : x
  2. Step 2: Convert to fraction form
    102.82/141.75 = 75.19/x
  3. Step 3: Cross multiply
    102.82x = 141.75 × 75.19
  4. Step 4: Simplify right side
    102.82x = 10,658.18
  5. Step 5: Solve for x
    x = 10,658.18/102.82
  6. Step 6: Final answer
    x = 103.66

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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.