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Finding the Fourth Proportional to 133.22, 183.82 and 91.86

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Solution

The fourth proportional to 133.22, 183.82 and 91.86 is: 126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.22 : 183.82 = 91.86 : x
  2. Step 2: Convert to fraction form
    133.22/183.82 = 91.86/x
  3. Step 3: Cross multiply
    133.22x = 183.82 × 91.86
  4. Step 4: Simplify right side
    133.22x = 16,885.71
  5. Step 5: Solve for x
    x = 16,885.71/133.22
  6. Step 6: Final answer
    x = 126.75

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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.