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Finding the Fourth Proportional to 163.74, 225.86 and 120

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Solution

The fourth proportional to 163.74, 225.86 and 120 is: 165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.74 : 225.86 = 120 : x
  2. Step 2: Convert to fraction form
    163.74/225.86 = 120/x
  3. Step 3: Cross multiply
    163.74x = 225.86 × 120
  4. Step 4: Simplify right side
    163.74x = 27,102.60
  5. Step 5: Solve for x
    x = 27,102.60/163.74
  6. Step 6: Final answer
    x = 165.52

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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.