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Finding the Fourth Proportional to 138.90, 209.44 and 121.08

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Solution

The fourth proportional to 138.90, 209.44 and 121.08 is: 182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.90 : 209.44 = 121.08 : x
  2. Step 2: Convert to fraction form
    138.90/209.44 = 121.08/x
  3. Step 3: Cross multiply
    138.90x = 209.44 × 121.08
  4. Step 4: Simplify right side
    138.90x = 25,359.00
  5. Step 5: Solve for x
    x = 25,359.00/138.90
  6. Step 6: Final answer
    x = 182.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.