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Finding the Fourth Proportional to 102.14, 140.86 and 69.42

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Solution

The fourth proportional to 102.14, 140.86 and 69.42 is: 95.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.14 : 140.86 = 69.42 : x
  2. Step 2: Convert to fraction form
    102.14/140.86 = 69.42/x
  3. Step 3: Cross multiply
    102.14x = 140.86 × 69.42
  4. Step 4: Simplify right side
    102.14x = 9,778.50
  5. Step 5: Solve for x
    x = 9,778.50/102.14
  6. Step 6: Final answer
    x = 95.74

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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.