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Finding the Fourth Proportional to 133.92, 183.64 and 133.60

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Solution

The fourth proportional to 133.92, 183.64 and 133.60 is: 183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.92 : 183.64 = 133.60 : x
  2. Step 2: Convert to fraction form
    133.92/183.64 = 133.60/x
  3. Step 3: Cross multiply
    133.92x = 183.64 × 133.60
  4. Step 4: Simplify right side
    133.92x = 24,534.30
  5. Step 5: Solve for x
    x = 24,534.30/133.92
  6. Step 6: Final answer
    x = 183.20

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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.