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Finding the Fourth Proportional to 150.85, 207.81 and 109.12

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Solution

The fourth proportional to 150.85, 207.81 and 109.12 is: 150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.85 : 207.81 = 109.12 : x
  2. Step 2: Convert to fraction form
    150.85/207.81 = 109.12/x
  3. Step 3: Cross multiply
    150.85x = 207.81 × 109.12
  4. Step 4: Simplify right side
    150.85x = 22,676.23
  5. Step 5: Solve for x
    x = 22,676.23/150.85
  6. Step 6: Final answer
    x = 150.32

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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.