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Finding the Fourth Proportional to 118.72, 164.10 and 109.15

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Solution

The fourth proportional to 118.72, 164.10 and 109.15 is: 150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.72 : 164.10 = 109.15 : x
  2. Step 2: Convert to fraction form
    118.72/164.10 = 109.15/x
  3. Step 3: Cross multiply
    118.72x = 164.10 × 109.15
  4. Step 4: Simplify right side
    118.72x = 17,911.21
  5. Step 5: Solve for x
    x = 17,911.21/118.72
  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.