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Finding the Fourth Proportional to 128.92, 177.83 and 99.42

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Solution

The fourth proportional to 128.92, 177.83 and 99.42 is: 137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.92 : 177.83 = 99.42 : x
  2. Step 2: Convert to fraction form
    128.92/177.83 = 99.42/x
  3. Step 3: Cross multiply
    128.92x = 177.83 × 99.42
  4. Step 4: Simplify right side
    128.92x = 17,679.86
  5. Step 5: Solve for x
    x = 17,679.86/128.92
  6. Step 6: Final answer
    x = 137.14

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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.