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Finding the Fourth Proportional to 286.09, 429.15 and 80.68

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Solution

The fourth proportional to 286.09, 429.15 and 80.68 is: 121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.09 : 429.15 = 80.68 : x
  2. Step 2: Convert to fraction form
    286.09/429.15 = 80.68/x
  3. Step 3: Cross multiply
    286.09x = 429.15 × 80.68
  4. Step 4: Simplify right side
    286.09x = 34,622.41
  5. Step 5: Solve for x
    x = 34,622.41/286.09
  6. Step 6: Final answer
    x = 121.02

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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.