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Finding the Fourth Proportional to 149.29, 205.99 and 83.79

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Solution

The fourth proportional to 149.29, 205.99 and 83.79 is: 115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.29 : 205.99 = 83.79 : x
  2. Step 2: Convert to fraction form
    149.29/205.99 = 83.79/x
  3. Step 3: Cross multiply
    149.29x = 205.99 × 83.79
  4. Step 4: Simplify right side
    149.29x = 17,259.90
  5. Step 5: Solve for x
    x = 17,259.90/149.29
  6. Step 6: Final answer
    x = 115.61

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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.