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Finding the Fourth Proportional to 171.11, 236.10 and 101.14

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Solution

The fourth proportional to 171.11, 236.10 and 101.14 is: 139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.11 : 236.10 = 101.14 : x
  2. Step 2: Convert to fraction form
    171.11/236.10 = 101.14/x
  3. Step 3: Cross multiply
    171.11x = 236.10 × 101.14
  4. Step 4: Simplify right side
    171.11x = 23,878.56
  5. Step 5: Solve for x
    x = 23,878.56/171.11
  6. Step 6: Final answer
    x = 139.56

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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.