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Finding the Fourth Proportional to 139.61, 192.66 and 77.43

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Solution

The fourth proportional to 139.61, 192.66 and 77.43 is: 106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.61 : 192.66 = 77.43 : x
  2. Step 2: Convert to fraction form
    139.61/192.66 = 77.43/x
  3. Step 3: Cross multiply
    139.61x = 192.66 × 77.43
  4. Step 4: Simplify right side
    139.61x = 14,918.10
  5. Step 5: Solve for x
    x = 14,918.10/139.61
  6. Step 6: Final answer
    x = 106.86

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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.