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Finding the Fourth Proportional to 144.50, 199.44 and 92.78

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Solution

The fourth proportional to 144.50, 199.44 and 92.78 is: 128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.50 : 199.44 = 92.78 : x
  2. Step 2: Convert to fraction form
    144.50/199.44 = 92.78/x
  3. Step 3: Cross multiply
    144.50x = 199.44 × 92.78
  4. Step 4: Simplify right side
    144.50x = 18,504.04
  5. Step 5: Solve for x
    x = 18,504.04/144.50
  6. Step 6: Final answer
    x = 128.06

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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.