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Finding the Fourth Proportional to 128.92, 177.96 and 96.43

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Solution

The fourth proportional to 128.92, 177.96 and 96.43 is: 133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.92 : 177.96 = 96.43 : x
  2. Step 2: Convert to fraction form
    128.92/177.96 = 96.43/x
  3. Step 3: Cross multiply
    128.92x = 177.96 × 96.43
  4. Step 4: Simplify right side
    128.92x = 17,160.68
  5. Step 5: Solve for x
    x = 17,160.68/128.92
  6. Step 6: Final answer
    x = 133.11

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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.