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Finding the Fourth Proportional to 171.30, 236.49 and 116.11

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Solution

The fourth proportional to 171.30, 236.49 and 116.11 is: 160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.30 : 236.49 = 116.11 : x
  2. Step 2: Convert to fraction form
    171.30/236.49 = 116.11/x
  3. Step 3: Cross multiply
    171.30x = 236.49 × 116.11
  4. Step 4: Simplify right side
    171.30x = 27,458.71
  5. Step 5: Solve for x
    x = 27,458.71/171.30
  6. Step 6: Final answer
    x = 160.29

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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.