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Finding the Fourth Proportional to 150.89, 208.13 and 109.38

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Solution

The fourth proportional to 150.89, 208.13 and 109.38 is: 150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.89 : 208.13 = 109.38 : x
  2. Step 2: Convert to fraction form
    150.89/208.13 = 109.38/x
  3. Step 3: Cross multiply
    150.89x = 208.13 × 109.38
  4. Step 4: Simplify right side
    150.89x = 22,765.26
  5. Step 5: Solve for x
    x = 22,765.26/150.89
  6. Step 6: Final answer
    x = 150.87

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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.