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Finding the Fourth Proportional to 139.23, 191.87 and 101.76

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Solution

The fourth proportional to 139.23, 191.87 and 101.76 is: 140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.23 : 191.87 = 101.76 : x
  2. Step 2: Convert to fraction form
    139.23/191.87 = 101.76/x
  3. Step 3: Cross multiply
    139.23x = 191.87 × 101.76
  4. Step 4: Simplify right side
    139.23x = 19,524.69
  5. Step 5: Solve for x
    x = 19,524.69/139.23
  6. Step 6: Final answer
    x = 140.23

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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.