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Finding the Fourth Proportional to 144.78, 199.70 and 92.28

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Solution

The fourth proportional to 144.78, 199.70 and 92.28 is: 127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.78 : 199.70 = 92.28 : x
  2. Step 2: Convert to fraction form
    144.78/199.70 = 92.28/x
  3. Step 3: Cross multiply
    144.78x = 199.70 × 92.28
  4. Step 4: Simplify right side
    144.78x = 18,427.85
  5. Step 5: Solve for x
    x = 18,427.85/144.78
  6. Step 6: Final answer
    x = 127.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.