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Finding the Fourth Proportional to 139.16, 191.49 and 102.31

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Solution

The fourth proportional to 139.16, 191.49 and 102.31 is: 140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.16 : 191.49 = 102.31 : x
  2. Step 2: Convert to fraction form
    139.16/191.49 = 102.31/x
  3. Step 3: Cross multiply
    139.16x = 191.49 × 102.31
  4. Step 4: Simplify right side
    139.16x = 19,591.34
  5. Step 5: Solve for x
    x = 19,591.34/139.16
  6. Step 6: Final answer
    x = 140.78

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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.