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Finding the Fourth Proportional to 128.87, 177.68 and 104.23

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Solution

The fourth proportional to 128.87, 177.68 and 104.23 is: 143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.87 : 177.68 = 104.23 : x
  2. Step 2: Convert to fraction form
    128.87/177.68 = 104.23/x
  3. Step 3: Cross multiply
    128.87x = 177.68 × 104.23
  4. Step 4: Simplify right side
    128.87x = 18,519.40
  5. Step 5: Solve for x
    x = 18,519.40/128.87
  6. Step 6: Final answer
    x = 143.71

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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.