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Finding the Fourth Proportional to 138, 190.41 and 103.04

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Solution

The fourth proportional to 138, 190.41 and 103.04 is: 142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138 : 190.41 = 103.04 : x
  2. Step 2: Convert to fraction form
    138/190.41 = 103.04/x
  3. Step 3: Cross multiply
    138x = 190.41 × 103.04
  4. Step 4: Simplify right side
    138x = 19,619.85
  5. Step 5: Solve for x
    x = 19,619.85/138
  6. Step 6: Final answer
    x = 142.17

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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.