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Finding the Fourth Proportional to 286.69, 430.02 and 81.27

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Solution

The fourth proportional to 286.69, 430.02 and 81.27 is: 121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.69 : 430.02 = 81.27 : x
  2. Step 2: Convert to fraction form
    286.69/430.02 = 81.27/x
  3. Step 3: Cross multiply
    286.69x = 430.02 × 81.27
  4. Step 4: Simplify right side
    286.69x = 34,947.73
  5. Step 5: Solve for x
    x = 34,947.73/286.69
  6. Step 6: Final answer
    x = 121.90

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Why These Related Problems?

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