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Finding the Fourth Proportional to 138.03, 190.53 and 121.83

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Solution

The fourth proportional to 138.03, 190.53 and 121.83 is: 168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.03 : 190.53 = 121.83 : x
  2. Step 2: Convert to fraction form
    138.03/190.53 = 121.83/x
  3. Step 3: Cross multiply
    138.03x = 190.53 × 121.83
  4. Step 4: Simplify right side
    138.03x = 23,212.27
  5. Step 5: Solve for x
    x = 23,212.27/138.03
  6. Step 6: Final answer
    x = 168.17

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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.