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Finding the Fourth Proportional to 133.50, 183.81 and 119.64

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Solution

The fourth proportional to 133.50, 183.81 and 119.64 is: 164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.50 : 183.81 = 119.64 : x
  2. Step 2: Convert to fraction form
    133.50/183.81 = 119.64/x
  3. Step 3: Cross multiply
    133.50x = 183.81 × 119.64
  4. Step 4: Simplify right side
    133.50x = 21,991.03
  5. Step 5: Solve for x
    x = 21,991.03/133.50
  6. Step 6: Final answer
    x = 164.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.