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Finding the Fourth Proportional to 109.23, 163.74 and 82.10

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Solution

The fourth proportional to 109.23, 163.74 and 82.10 is: 123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.23 : 163.74 = 82.10 : x
  2. Step 2: Convert to fraction form
    109.23/163.74 = 82.10/x
  3. Step 3: Cross multiply
    109.23x = 163.74 × 82.10
  4. Step 4: Simplify right side
    109.23x = 13,443.05
  5. Step 5: Solve for x
    x = 13,443.05/109.23
  6. Step 6: Final answer
    x = 123.07

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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.