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Finding the Fourth Proportional to 128.69, 192.60 and 98.08

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Solution

The fourth proportional to 128.69, 192.60 and 98.08 is: 146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.69 : 192.60 = 98.08 : x
  2. Step 2: Convert to fraction form
    128.69/192.60 = 98.08/x
  3. Step 3: Cross multiply
    128.69x = 192.60 × 98.08
  4. Step 4: Simplify right side
    128.69x = 18,889.73
  5. Step 5: Solve for x
    x = 18,889.73/128.69
  6. Step 6: Final answer
    x = 146.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.