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Finding the Fourth Proportional to 133.22, 199.70 and 64.65

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Solution

The fourth proportional to 133.22, 199.70 and 64.65 is: 96.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.22 : 199.70 = 64.65 : x
  2. Step 2: Convert to fraction form
    133.22/199.70 = 64.65/x
  3. Step 3: Cross multiply
    133.22x = 199.70 × 64.65
  4. Step 4: Simplify right side
    133.22x = 12,910.28
  5. Step 5: Solve for x
    x = 12,910.28/133.22
  6. Step 6: Final answer
    x = 96.91

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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.