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Finding the Fourth Proportional to 144.41, 199.28 and 78.91

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Solution

The fourth proportional to 144.41, 199.28 and 78.91 is: 108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.41 : 199.28 = 78.91 : x
  2. Step 2: Convert to fraction form
    144.41/199.28 = 78.91/x
  3. Step 3: Cross multiply
    144.41x = 199.28 × 78.91
  4. Step 4: Simplify right side
    144.41x = 15,725.28
  5. Step 5: Solve for x
    x = 15,725.28/144.41
  6. Step 6: Final answer
    x = 108.90

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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.