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Finding the Fourth Proportional to 133.09, 183.62 and 77.83

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Solution

The fourth proportional to 133.09, 183.62 and 77.83 is: 107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.09 : 183.62 = 77.83 : x
  2. Step 2: Convert to fraction form
    133.09/183.62 = 77.83/x
  3. Step 3: Cross multiply
    133.09x = 183.62 × 77.83
  4. Step 4: Simplify right side
    133.09x = 14,290.88
  5. Step 5: Solve for x
    x = 14,290.88/133.09
  6. Step 6: Final answer
    x = 107.38

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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.