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Finding the Fourth Proportional to 171.75, 236.93 and 100.85

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Solution

The fourth proportional to 171.75, 236.93 and 100.85 is: 139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.75 : 236.93 = 100.85 : x
  2. Step 2: Convert to fraction form
    171.75/236.93 = 100.85/x
  3. Step 3: Cross multiply
    171.75x = 236.93 × 100.85
  4. Step 4: Simplify right side
    171.75x = 23,892.70
  5. Step 5: Solve for x
    x = 23,892.70/171.75
  6. Step 6: Final answer
    x = 139.12

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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.