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Finding the Fourth Proportional to 133.21, 199.91 and 64.78

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Solution

The fourth proportional to 133.21, 199.91 and 64.78 is: 97.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.21 : 199.91 = 64.78 : x
  2. Step 2: Convert to fraction form
    133.21/199.91 = 64.78/x
  3. Step 3: Cross multiply
    133.21x = 199.91 × 64.78
  4. Step 4: Simplify right side
    133.21x = 12,949.85
  5. Step 5: Solve for x
    x = 12,949.85/133.21
  6. Step 6: Final answer
    x = 97.21

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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.