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Finding the Fourth Proportional to 171.78, 237.15 and 113.82

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Solution

The fourth proportional to 171.78, 237.15 and 113.82 is: 157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.78 : 237.15 = 113.82 : x
  2. Step 2: Convert to fraction form
    171.78/237.15 = 113.82/x
  3. Step 3: Cross multiply
    171.78x = 237.15 × 113.82
  4. Step 4: Simplify right side
    171.78x = 26,992.41
  5. Step 5: Solve for x
    x = 26,992.41/171.78
  6. Step 6: Final answer
    x = 157.13

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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.