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Finding the Fourth Proportional to 139.61, 192.46 and 106.41

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Solution

The fourth proportional to 139.61, 192.46 and 106.41 is: 146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.61 : 192.46 = 106.41 : x
  2. Step 2: Convert to fraction form
    139.61/192.46 = 106.41/x
  3. Step 3: Cross multiply
    139.61x = 192.46 × 106.41
  4. Step 4: Simplify right side
    139.61x = 20,479.14
  5. Step 5: Solve for x
    x = 20,479.14/139.61
  6. Step 6: Final answer
    x = 146.69

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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.