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Finding the Fourth Proportional to 139.03, 191.76 and 106.36

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Solution

The fourth proportional to 139.03, 191.76 and 106.36 is: 146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.03 : 191.76 = 106.36 : x
  2. Step 2: Convert to fraction form
    139.03/191.76 = 106.36/x
  3. Step 3: Cross multiply
    139.03x = 191.76 × 106.36
  4. Step 4: Simplify right side
    139.03x = 20,395.59
  5. Step 5: Solve for x
    x = 20,395.59/139.03
  6. Step 6: Final answer
    x = 146.70

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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.