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Finding the Fourth Proportional to 139.74, 192.60 and 102.78

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Solution

The fourth proportional to 139.74, 192.60 and 102.78 is: 141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.74 : 192.60 = 102.78 : x
  2. Step 2: Convert to fraction form
    139.74/192.60 = 102.78/x
  3. Step 3: Cross multiply
    139.74x = 192.60 × 102.78
  4. Step 4: Simplify right side
    139.74x = 19,795.43
  5. Step 5: Solve for x
    x = 19,795.43/139.74
  6. Step 6: Final answer
    x = 141.66

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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.