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Finding the Fourth Proportional to 133.26, 183.87 and 77.24

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Solution

The fourth proportional to 133.26, 183.87 and 77.24 is: 106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.26 : 183.87 = 77.24 : x
  2. Step 2: Convert to fraction form
    133.26/183.87 = 77.24/x
  3. Step 3: Cross multiply
    133.26x = 183.87 × 77.24
  4. Step 4: Simplify right side
    133.26x = 14,202.12
  5. Step 5: Solve for x
    x = 14,202.12/133.26
  6. Step 6: Final answer
    x = 106.57

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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.