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Finding the Fourth Proportional to 109.25, 163.95 and 45.14

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Solution

The fourth proportional to 109.25, 163.95 and 45.14 is: 67.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.25 : 163.95 = 45.14 : x
  2. Step 2: Convert to fraction form
    109.25/163.95 = 45.14/x
  3. Step 3: Cross multiply
    109.25x = 163.95 × 45.14
  4. Step 4: Simplify right side
    109.25x = 7,400.70
  5. Step 5: Solve for x
    x = 7,400.70/109.25
  6. Step 6: Final answer
    x = 67.74

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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.