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Finding the Fourth Proportional to 139.86, 192.86 and 120.25

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Solution

The fourth proportional to 139.86, 192.86 and 120.25 is: 165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.86 : 192.86 = 120.25 : x
  2. Step 2: Convert to fraction form
    139.86/192.86 = 120.25/x
  3. Step 3: Cross multiply
    139.86x = 192.86 × 120.25
  4. Step 4: Simplify right side
    139.86x = 23,190.81
  5. Step 5: Solve for x
    x = 23,190.81/139.86
  6. Step 6: Final answer
    x = 165.82

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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.