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Finding the Fourth Proportional to 171.14, 236.21 and 101.23

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Solution

The fourth proportional to 171.14, 236.21 and 101.23 is: 139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.14 : 236.21 = 101.23 : x
  2. Step 2: Convert to fraction form
    171.14/236.21 = 101.23/x
  3. Step 3: Cross multiply
    171.14x = 236.21 × 101.23
  4. Step 4: Simplify right side
    171.14x = 23,911.54
  5. Step 5: Solve for x
    x = 23,911.54/171.14
  6. Step 6: Final answer
    x = 139.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.