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Finding the Fourth Proportional to 128.97, 194.19 and 116.28

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Solution

The fourth proportional to 128.97, 194.19 and 116.28 is: 175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.97 : 194.19 = 116.28 : x
  2. Step 2: Convert to fraction form
    128.97/194.19 = 116.28/x
  3. Step 3: Cross multiply
    128.97x = 194.19 × 116.28
  4. Step 4: Simplify right side
    128.97x = 22,580.41
  5. Step 5: Solve for x
    x = 22,580.41/128.97
  6. Step 6: Final answer
    x = 175.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.