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Finding the Fourth Proportional to 133.49, 184.24 and 83.05

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Solution

The fourth proportional to 133.49, 184.24 and 83.05 is: 114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.49 : 184.24 = 83.05 : x
  2. Step 2: Convert to fraction form
    133.49/184.24 = 83.05/x
  3. Step 3: Cross multiply
    133.49x = 184.24 × 83.05
  4. Step 4: Simplify right side
    133.49x = 15,301.13
  5. Step 5: Solve for x
    x = 15,301.13/133.49
  6. Step 6: Final answer
    x = 114.62

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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.