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Finding the Fourth Proportional to 193.56, 267 and 124.56

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Solution

The fourth proportional to 193.56, 267 and 124.56 is: 171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.56 : 267 = 124.56 : x
  2. Step 2: Convert to fraction form
    193.56/267 = 124.56/x
  3. Step 3: Cross multiply
    193.56x = 267 × 124.56
  4. Step 4: Simplify right side
    193.56x = 33,257.52
  5. Step 5: Solve for x
    x = 33,257.52/193.56
  6. Step 6: Final answer
    x = 171.82

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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.