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Finding the Fourth Proportional to 151.58, 209.14 and 92.56

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Solution

The fourth proportional to 151.58, 209.14 and 92.56 is: 127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.58 : 209.14 = 92.56 : x
  2. Step 2: Convert to fraction form
    151.58/209.14 = 92.56/x
  3. Step 3: Cross multiply
    151.58x = 209.14 × 92.56
  4. Step 4: Simplify right side
    151.58x = 19,357.24
  5. Step 5: Solve for x
    x = 19,357.24/151.58
  6. Step 6: Final answer
    x = 127.71

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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.