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Finding the Fourth Proportional to 171.63, 236.82 and 113.38

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Solution

The fourth proportional to 171.63, 236.82 and 113.38 is: 156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.63 : 236.82 = 113.38 : x
  2. Step 2: Convert to fraction form
    171.63/236.82 = 113.38/x
  3. Step 3: Cross multiply
    171.63x = 236.82 × 113.38
  4. Step 4: Simplify right side
    171.63x = 26,850.65
  5. Step 5: Solve for x
    x = 26,850.65/171.63
  6. Step 6: Final answer
    x = 156.44

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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.