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Finding the Fourth Proportional to 213.89, 320.85 and 67.64

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Solution

The fourth proportional to 213.89, 320.85 and 67.64 is: 101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.89 : 320.85 = 67.64 : x
  2. Step 2: Convert to fraction form
    213.89/320.85 = 67.64/x
  3. Step 3: Cross multiply
    213.89x = 320.85 × 67.64
  4. Step 4: Simplify right side
    213.89x = 21,700.69
  5. Step 5: Solve for x
    x = 21,700.69/213.89
  6. Step 6: Final answer
    x = 101.46

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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.