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Finding the Fourth Proportional to 133.65, 199.26 and 120.69

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Solution

The fourth proportional to 133.65, 199.26 and 120.69 is: 179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.65 : 199.26 = 120.69 : x
  2. Step 2: Convert to fraction form
    133.65/199.26 = 120.69/x
  3. Step 3: Cross multiply
    133.65x = 199.26 × 120.69
  4. Step 4: Simplify right side
    133.65x = 24,048.69
  5. Step 5: Solve for x
    x = 24,048.69/133.65
  6. Step 6: Final answer
    x = 179.94

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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.