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Finding the Fourth Proportional to 149.24, 205.94 and 83.75

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Solution

The fourth proportional to 149.24, 205.94 and 83.75 is: 115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.24 : 205.94 = 83.75 : x
  2. Step 2: Convert to fraction form
    149.24/205.94 = 83.75/x
  3. Step 3: Cross multiply
    149.24x = 205.94 × 83.75
  4. Step 4: Simplify right side
    149.24x = 17,246.65
  5. Step 5: Solve for x
    x = 17,246.65/149.24
  6. Step 6: Final answer
    x = 115.56

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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.