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Finding the Fourth Proportional to 138.09, 190.26 and 94.35

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Solution

The fourth proportional to 138.09, 190.26 and 94.35 is: 130.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.09 : 190.26 = 94.35 : x
  2. Step 2: Convert to fraction form
    138.09/190.26 = 94.35/x
  3. Step 3: Cross multiply
    138.09x = 190.26 × 94.35
  4. Step 4: Simplify right side
    138.09x = 17,951.03
  5. Step 5: Solve for x
    x = 17,951.03/138.09
  6. Step 6: Final answer
    x = 130.00

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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.