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Finding the Fourth Proportional to 138.90, 207.24 and 120.90

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Solution

The fourth proportional to 138.90, 207.24 and 120.90 is: 180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.90 : 207.24 = 120.90 : x
  2. Step 2: Convert to fraction form
    138.90/207.24 = 120.90/x
  3. Step 3: Cross multiply
    138.90x = 207.24 × 120.90
  4. Step 4: Simplify right side
    138.90x = 25,055.32
  5. Step 5: Solve for x
    x = 25,055.32/138.90
  6. Step 6: Final answer
    x = 180.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.