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Finding the Fourth Proportional to 138.06, 190.34 and 118.34

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Solution

The fourth proportional to 138.06, 190.34 and 118.34 is: 163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.06 : 190.34 = 118.34 : x
  2. Step 2: Convert to fraction form
    138.06/190.34 = 118.34/x
  3. Step 3: Cross multiply
    138.06x = 190.34 × 118.34
  4. Step 4: Simplify right side
    138.06x = 22,524.84
  5. Step 5: Solve for x
    x = 22,524.84/138.06
  6. Step 6: Final answer
    x = 163.15

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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.