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Finding the Fourth Proportional to 133.01, 198.21 and 128.66

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Solution

The fourth proportional to 133.01, 198.21 and 128.66 is: 191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.01 : 198.21 = 128.66 : x
  2. Step 2: Convert to fraction form
    133.01/198.21 = 128.66/x
  3. Step 3: Cross multiply
    133.01x = 198.21 × 128.66
  4. Step 4: Simplify right side
    133.01x = 25,500.71
  5. Step 5: Solve for x
    x = 25,500.71/133.01
  6. Step 6: Final answer
    x = 191.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.