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Finding the Fourth Proportional to 139.37, 192.42 and 106.56

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Solution

The fourth proportional to 139.37, 192.42 and 106.56 is: 147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.37 : 192.42 = 106.56 : x
  2. Step 2: Convert to fraction form
    139.37/192.42 = 106.56/x
  3. Step 3: Cross multiply
    139.37x = 192.42 × 106.56
  4. Step 4: Simplify right side
    139.37x = 20,504.28
  5. Step 5: Solve for x
    x = 20,504.28/139.37
  6. Step 6: Final answer
    x = 147.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.