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Finding the Fourth Proportional to 213.38, 320.07 and 59.31

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Solution

The fourth proportional to 213.38, 320.07 and 59.31 is: 88.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.38 : 320.07 = 59.31 : x
  2. Step 2: Convert to fraction form
    213.38/320.07 = 59.31/x
  3. Step 3: Cross multiply
    213.38x = 320.07 × 59.31
  4. Step 4: Simplify right side
    213.38x = 18,983.35
  5. Step 5: Solve for x
    x = 18,983.35/213.38
  6. Step 6: Final answer
    x = 88.97

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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.