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Finding the Fourth Proportional to 137.99, 207.81 and 121.10

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Solution

The fourth proportional to 137.99, 207.81 and 121.10 is: 182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.99 : 207.81 = 121.10 : x
  2. Step 2: Convert to fraction form
    137.99/207.81 = 121.10/x
  3. Step 3: Cross multiply
    137.99x = 207.81 × 121.10
  4. Step 4: Simplify right side
    137.99x = 25,164.75
  5. Step 5: Solve for x
    x = 25,164.75/137.99
  6. Step 6: Final answer
    x = 182.36

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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.