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Finding the Fourth Proportional to 150.08, 207.11 and 83.69

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Solution

The fourth proportional to 150.08, 207.11 and 83.69 is: 115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.08 : 207.11 = 83.69 : x
  2. Step 2: Convert to fraction form
    150.08/207.11 = 83.69/x
  3. Step 3: Cross multiply
    150.08x = 207.11 × 83.69
  4. Step 4: Simplify right side
    150.08x = 17,331.58
  5. Step 5: Solve for x
    x = 17,331.58/150.08
  6. Step 6: Final answer
    x = 115.49

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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.