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Finding the Fourth Proportional to 144.72, 199.76 and 92.24

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Solution

The fourth proportional to 144.72, 199.76 and 92.24 is: 127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.72 : 199.76 = 92.24 : x
  2. Step 2: Convert to fraction form
    144.72/199.76 = 92.24/x
  3. Step 3: Cross multiply
    144.72x = 199.76 × 92.24
  4. Step 4: Simplify right side
    144.72x = 18,425.86
  5. Step 5: Solve for x
    x = 18,425.86/144.72
  6. Step 6: Final answer
    x = 127.32

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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.