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Finding the Fourth Proportional to 109.25, 163.76 and 74.90

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Solution

The fourth proportional to 109.25, 163.76 and 74.90 is: 112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.25 : 163.76 = 74.90 : x
  2. Step 2: Convert to fraction form
    109.25/163.76 = 74.90/x
  3. Step 3: Cross multiply
    109.25x = 163.76 × 74.90
  4. Step 4: Simplify right side
    109.25x = 12,264.43
  5. Step 5: Solve for x
    x = 12,264.43/109.25
  6. Step 6: Final answer
    x = 112.27

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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.