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Finding the Fourth Proportional to 139.24, 191.89 and 102.31

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Solution

The fourth proportional to 139.24, 191.89 and 102.31 is: 141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.24 : 191.89 = 102.31 : x
  2. Step 2: Convert to fraction form
    139.24/191.89 = 102.31/x
  3. Step 3: Cross multiply
    139.24x = 191.89 × 102.31
  4. Step 4: Simplify right side
    139.24x = 19,632.27
  5. Step 5: Solve for x
    x = 19,632.27/139.24
  6. Step 6: Final answer
    x = 141.00

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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.