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Finding the Fourth Proportional to 144.56, 199.45 and 94.85

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Solution

The fourth proportional to 144.56, 199.45 and 94.85 is: 130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.56 : 199.45 = 94.85 : x
  2. Step 2: Convert to fraction form
    144.56/199.45 = 94.85/x
  3. Step 3: Cross multiply
    144.56x = 199.45 × 94.85
  4. Step 4: Simplify right side
    144.56x = 18,917.01
  5. Step 5: Solve for x
    x = 18,917.01/144.56
  6. Step 6: Final answer
    x = 130.86

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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.