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Finding the Fourth Proportional to 109.62, 164.02 and 92.31

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Solution

The fourth proportional to 109.62, 164.02 and 92.31 is: 138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.62 : 164.02 = 92.31 : x
  2. Step 2: Convert to fraction form
    109.62/164.02 = 92.31/x
  3. Step 3: Cross multiply
    109.62x = 164.02 × 92.31
  4. Step 4: Simplify right side
    109.62x = 15,140.69
  5. Step 5: Solve for x
    x = 15,140.69/109.62
  6. Step 6: Final answer
    x = 138.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.