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Finding the Fourth Proportional to 144.15, 198.72 and 94.94

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Solution

The fourth proportional to 144.15, 198.72 and 94.94 is: 130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.15 : 198.72 = 94.94 : x
  2. Step 2: Convert to fraction form
    144.15/198.72 = 94.94/x
  3. Step 3: Cross multiply
    144.15x = 198.72 × 94.94
  4. Step 4: Simplify right side
    144.15x = 18,866.55
  5. Step 5: Solve for x
    x = 18,866.55/144.15
  6. Step 6: Final answer
    x = 130.88

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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.