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Finding the Fourth Proportional to 128.10, 191.31 and 107.82

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Solution

The fourth proportional to 128.10, 191.31 and 107.82 is: 161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.10 : 191.31 = 107.82 : x
  2. Step 2: Convert to fraction form
    128.10/191.31 = 107.82/x
  3. Step 3: Cross multiply
    128.10x = 191.31 × 107.82
  4. Step 4: Simplify right side
    128.10x = 20,627.04
  5. Step 5: Solve for x
    x = 20,627.04/128.10
  6. Step 6: Final answer
    x = 161.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.