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Finding the Fourth Proportional to 144.45, 199.19 and 92.67

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Solution

The fourth proportional to 144.45, 199.19 and 92.67 is: 127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.45 : 199.19 = 92.67 : x
  2. Step 2: Convert to fraction form
    144.45/199.19 = 92.67/x
  3. Step 3: Cross multiply
    144.45x = 199.19 × 92.67
  4. Step 4: Simplify right side
    144.45x = 18,458.47
  5. Step 5: Solve for x
    x = 18,458.47/144.45
  6. Step 6: Final answer
    x = 127.78

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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.