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Finding the Fourth Proportional to 109.23, 163.85 and 75.08

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Solution

The fourth proportional to 109.23, 163.85 and 75.08 is: 112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.23 : 163.85 = 75.08 : x
  2. Step 2: Convert to fraction form
    109.23/163.85 = 75.08/x
  3. Step 3: Cross multiply
    109.23x = 163.85 × 75.08
  4. Step 4: Simplify right side
    109.23x = 12,300.66
  5. Step 5: Solve for x
    x = 12,300.66/109.23
  6. Step 6: Final answer
    x = 112.61

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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.