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Finding the Fourth Proportional to 286.91, 430.31 and 81.44

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Solution

The fourth proportional to 286.91, 430.31 and 81.44 is: 122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.91 : 430.31 = 81.44 : x
  2. Step 2: Convert to fraction form
    286.91/430.31 = 81.44/x
  3. Step 3: Cross multiply
    286.91x = 430.31 × 81.44
  4. Step 4: Simplify right side
    286.91x = 35,041.89
  5. Step 5: Solve for x
    x = 35,041.89/286.91
  6. Step 6: Final answer
    x = 122.14

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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.