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Finding the Fourth Proportional to 139.03, 191.85 and 76.85

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Solution

The fourth proportional to 139.03, 191.85 and 76.85 is: 106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.03 : 191.85 = 76.85 : x
  2. Step 2: Convert to fraction form
    139.03/191.85 = 76.85/x
  3. Step 3: Cross multiply
    139.03x = 191.85 × 76.85
  4. Step 4: Simplify right side
    139.03x = 14,744.86
  5. Step 5: Solve for x
    x = 14,744.86/139.03
  6. Step 6: Final answer
    x = 106.06

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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.