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Finding the Fourth Proportional to 213.99, 320.97 and 59.91

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Solution

The fourth proportional to 213.99, 320.97 and 59.91 is: 89.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.99 : 320.97 = 59.91 : x
  2. Step 2: Convert to fraction form
    213.99/320.97 = 59.91/x
  3. Step 3: Cross multiply
    213.99x = 320.97 × 59.91
  4. Step 4: Simplify right side
    213.99x = 19,229.31
  5. Step 5: Solve for x
    x = 19,229.31/213.99
  6. Step 6: Final answer
    x = 89.86

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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.