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Finding the Fourth Proportional to 139.76, 192.64 and 106.96

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Solution

The fourth proportional to 139.76, 192.64 and 106.96 is: 147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.76 : 192.64 = 106.96 : x
  2. Step 2: Convert to fraction form
    139.76/192.64 = 106.96/x
  3. Step 3: Cross multiply
    139.76x = 192.64 × 106.96
  4. Step 4: Simplify right side
    139.76x = 20,604.77
  5. Step 5: Solve for x
    x = 20,604.77/139.76
  6. Step 6: Final answer
    x = 147.43

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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.