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Finding the Fourth Proportional to 128, 191.14 and 107.54

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Solution

The fourth proportional to 128, 191.14 and 107.54 is: 160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    128 : 191.14 = 107.54 : x
  2. Step 2: Convert to fraction form
    128/191.14 = 107.54/x
  3. Step 3: Cross multiply
    128x = 191.14 × 107.54
  4. Step 4: Simplify right side
    128x = 20,555.20
  5. Step 5: Solve for x
    x = 20,555.20/128
  6. Step 6: Final answer
    x = 160.59

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Why These Related Problems?

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