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Finding the Fourth Proportional to 163.95, 226.29 and 101.75

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Solution

The fourth proportional to 163.95, 226.29 and 101.75 is: 140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.95 : 226.29 = 101.75 : x
  2. Step 2: Convert to fraction form
    163.95/226.29 = 101.75/x
  3. Step 3: Cross multiply
    163.95x = 226.29 × 101.75
  4. Step 4: Simplify right side
    163.95x = 23,024.26
  5. Step 5: Solve for x
    x = 23,024.26/163.95
  6. Step 6: Final answer
    x = 140.43

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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.