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Finding the Fourth Proportional to 144.72, 199.67 and 92.17

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Solution

The fourth proportional to 144.72, 199.67 and 92.17 is: 127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.72 : 199.67 = 92.17 : x
  2. Step 2: Convert to fraction form
    144.72/199.67 = 92.17/x
  3. Step 3: Cross multiply
    144.72x = 199.67 × 92.17
  4. Step 4: Simplify right side
    144.72x = 18,402.62
  5. Step 5: Solve for x
    x = 18,402.62/144.72
  6. Step 6: Final answer
    x = 127.16

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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.