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Finding the Fourth Proportional to 139.05, 192.04 and 105.98

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Solution

The fourth proportional to 139.05, 192.04 and 105.98 is: 146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.05 : 192.04 = 105.98 : x
  2. Step 2: Convert to fraction form
    139.05/192.04 = 105.98/x
  3. Step 3: Cross multiply
    139.05x = 192.04 × 105.98
  4. Step 4: Simplify right side
    139.05x = 20,351.17
  5. Step 5: Solve for x
    x = 20,351.17/139.05
  6. Step 6: Final answer
    x = 146.36

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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.