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Finding the Fourth Proportional to 133.11, 183.57 and 105.05

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Solution

The fourth proportional to 133.11, 183.57 and 105.05 is: 144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.11 : 183.57 = 105.05 : x
  2. Step 2: Convert to fraction form
    133.11/183.57 = 105.05/x
  3. Step 3: Cross multiply
    133.11x = 183.57 × 105.05
  4. Step 4: Simplify right side
    133.11x = 19,283.06
  5. Step 5: Solve for x
    x = 19,283.06/133.11
  6. Step 6: Final answer
    x = 144.87

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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.