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Finding the Fourth Proportional to 213.80, 320.60 and 91.94

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Solution

The fourth proportional to 213.80, 320.60 and 91.94 is: 137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.80 : 320.60 = 91.94 : x
  2. Step 2: Convert to fraction form
    213.80/320.60 = 91.94/x
  3. Step 3: Cross multiply
    213.80x = 320.60 × 91.94
  4. Step 4: Simplify right side
    213.80x = 29,474.59
  5. Step 5: Solve for x
    x = 29,474.59/213.80
  6. Step 6: Final answer
    x = 137.86

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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.