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Finding the Fourth Proportional to 133.04, 183.57 and 83.89

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Solution

The fourth proportional to 133.04, 183.57 and 83.89 is: 115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.04 : 183.57 = 83.89 : x
  2. Step 2: Convert to fraction form
    133.04/183.57 = 83.89/x
  3. Step 3: Cross multiply
    133.04x = 183.57 × 83.89
  4. Step 4: Simplify right side
    133.04x = 15,399.69
  5. Step 5: Solve for x
    x = 15,399.69/133.04
  6. Step 6: Final answer
    x = 115.75

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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.