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Finding the Fourth Proportional to 151.72, 209.34 and 92.71

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Solution

The fourth proportional to 151.72, 209.34 and 92.71 is: 127.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.72 : 209.34 = 92.71 : x
  2. Step 2: Convert to fraction form
    151.72/209.34 = 92.71/x
  3. Step 3: Cross multiply
    151.72x = 209.34 × 92.71
  4. Step 4: Simplify right side
    151.72x = 19,407.39
  5. Step 5: Solve for x
    x = 19,407.39/151.72
  6. Step 6: Final answer
    x = 127.91

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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.