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Finding the Fourth Proportional to 109.12, 163.69 and 40.65

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Solution

The fourth proportional to 109.12, 163.69 and 40.65 is: 60.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.12 : 163.69 = 40.65 : x
  2. Step 2: Convert to fraction form
    109.12/163.69 = 40.65/x
  3. Step 3: Cross multiply
    109.12x = 163.69 × 40.65
  4. Step 4: Simplify right side
    109.12x = 6,654.00
  5. Step 5: Solve for x
    x = 6,654.00/109.12
  6. Step 6: Final answer
    x = 60.98

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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.