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Finding the Fourth Proportional to 133.10, 183.61 and 83.33

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Solution

The fourth proportional to 133.10, 183.61 and 83.33 is: 114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.10 : 183.61 = 83.33 : x
  2. Step 2: Convert to fraction form
    133.10/183.61 = 83.33/x
  3. Step 3: Cross multiply
    133.10x = 183.61 × 83.33
  4. Step 4: Simplify right side
    133.10x = 15,300.22
  5. Step 5: Solve for x
    x = 15,300.22/133.10
  6. Step 6: Final answer
    x = 114.95

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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.