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Finding the Fourth Proportional to 149.12, 205.89 and 90.94

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Solution

The fourth proportional to 149.12, 205.89 and 90.94 is: 125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.12 : 205.89 = 90.94 : x
  2. Step 2: Convert to fraction form
    149.12/205.89 = 90.94/x
  3. Step 3: Cross multiply
    149.12x = 205.89 × 90.94
  4. Step 4: Simplify right side
    149.12x = 18,723.12
  5. Step 5: Solve for x
    x = 18,723.12/149.12
  6. Step 6: Final answer
    x = 125.56

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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.