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Finding the Fourth Proportional to 128.91, 177.81 and 92.06

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Solution

The fourth proportional to 128.91, 177.81 and 92.06 is: 126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.91 : 177.81 = 92.06 : x
  2. Step 2: Convert to fraction form
    128.91/177.81 = 92.06/x
  3. Step 3: Cross multiply
    128.91x = 177.81 × 92.06
  4. Step 4: Simplify right side
    128.91x = 16,368.62
  5. Step 5: Solve for x
    x = 16,368.62/128.91
  6. Step 6: Final answer
    x = 126.97

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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.