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Finding the Fourth Proportional to 171.50, 236.67 and 102.54

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Solution

The fourth proportional to 171.50, 236.67 and 102.54 is: 141.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.50 : 236.67 = 102.54 : x
  2. Step 2: Convert to fraction form
    171.50/236.67 = 102.54/x
  3. Step 3: Cross multiply
    171.50x = 236.67 × 102.54
  4. Step 4: Simplify right side
    171.50x = 24,268.14
  5. Step 5: Solve for x
    x = 24,268.14/171.50
  6. Step 6: Final answer
    x = 141.51

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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.