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Finding the Fourth Proportional to 151.57, 209.18 and 92.57

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Solution

The fourth proportional to 151.57, 209.18 and 92.57 is: 127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.57 : 209.18 = 92.57 : x
  2. Step 2: Convert to fraction form
    151.57/209.18 = 92.57/x
  3. Step 3: Cross multiply
    151.57x = 209.18 × 92.57
  4. Step 4: Simplify right side
    151.57x = 19,363.79
  5. Step 5: Solve for x
    x = 19,363.79/151.57
  6. Step 6: Final answer
    x = 127.75

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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.