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Finding the Fourth Proportional to 163.54, 225.69 and 89.86

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Solution

The fourth proportional to 163.54, 225.69 and 89.86 is: 124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.54 : 225.69 = 89.86 : x
  2. Step 2: Convert to fraction form
    163.54/225.69 = 89.86/x
  3. Step 3: Cross multiply
    163.54x = 225.69 × 89.86
  4. Step 4: Simplify right side
    163.54x = 20,280.03
  5. Step 5: Solve for x
    x = 20,280.03/163.54
  6. Step 6: Final answer
    x = 124.01

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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.