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Finding the Fourth Proportional to 171.16, 236.24 and 116.06

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Solution

The fourth proportional to 171.16, 236.24 and 116.06 is: 160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.16 : 236.24 = 116.06 : x
  2. Step 2: Convert to fraction form
    171.16/236.24 = 116.06/x
  3. Step 3: Cross multiply
    171.16x = 236.24 × 116.06
  4. Step 4: Simplify right side
    171.16x = 27,418.01
  5. Step 5: Solve for x
    x = 27,418.01/171.16
  6. Step 6: Final answer
    x = 160.19

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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.