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Finding the Fourth Proportional to 151.72, 209.44 and 92.64

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Solution

The fourth proportional to 151.72, 209.44 and 92.64 is: 127.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.72 : 209.44 = 92.64 : x
  2. Step 2: Convert to fraction form
    151.72/209.44 = 92.64/x
  3. Step 3: Cross multiply
    151.72x = 209.44 × 92.64
  4. Step 4: Simplify right side
    151.72x = 19,402.90
  5. Step 5: Solve for x
    x = 19,402.90/151.72
  6. Step 6: Final answer
    x = 127.88

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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.