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Finding the Fourth Proportional to 109.23, 164.13 and 96.49

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Solution

The fourth proportional to 109.23, 164.13 and 96.49 is: 144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.23 : 164.13 = 96.49 : x
  2. Step 2: Convert to fraction form
    109.23/164.13 = 96.49/x
  3. Step 3: Cross multiply
    109.23x = 164.13 × 96.49
  4. Step 4: Simplify right side
    109.23x = 15,836.90
  5. Step 5: Solve for x
    x = 15,836.90/109.23
  6. Step 6: Final answer
    x = 144.99

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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.