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Finding the Fourth Proportional to 150.13, 207.39 and 120.97

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Solution

The fourth proportional to 150.13, 207.39 and 120.97 is: 167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.13 : 207.39 = 120.97 : x
  2. Step 2: Convert to fraction form
    150.13/207.39 = 120.97/x
  3. Step 3: Cross multiply
    150.13x = 207.39 × 120.97
  4. Step 4: Simplify right side
    150.13x = 25,087.97
  5. Step 5: Solve for x
    x = 25,087.97/150.13
  6. Step 6: Final answer
    x = 167.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.