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Finding the Fourth Proportional to 109.43, 164.17 and 41

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Solution

The fourth proportional to 109.43, 164.17 and 41 is: 61.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.43 : 164.17 = 41 : x
  2. Step 2: Convert to fraction form
    109.43/164.17 = 41/x
  3. Step 3: Cross multiply
    109.43x = 164.17 × 41
  4. Step 4: Simplify right side
    109.43x = 6,730.77
  5. Step 5: Solve for x
    x = 6,730.77/109.43
  6. Step 6: Final answer
    x = 61.51

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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.