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Finding the Fourth Proportional to 133.12, 182.74 and 120.80

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Solution

The fourth proportional to 133.12, 182.74 and 120.80 is: 165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.12 : 182.74 = 120.80 : x
  2. Step 2: Convert to fraction form
    133.12/182.74 = 120.80/x
  3. Step 3: Cross multiply
    133.12x = 182.74 × 120.80
  4. Step 4: Simplify right side
    133.12x = 22,074.99
  5. Step 5: Solve for x
    x = 22,074.99/133.12
  6. Step 6: Final answer
    x = 165.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.