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Finding the Fourth Proportional to 109.67, 164.51 and 41.19

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Solution

The fourth proportional to 109.67, 164.51 and 41.19 is: 61.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.67 : 164.51 = 41.19 : x
  2. Step 2: Convert to fraction form
    109.67/164.51 = 41.19/x
  3. Step 3: Cross multiply
    109.67x = 164.51 × 41.19
  4. Step 4: Simplify right side
    109.67x = 6,775.61
  5. Step 5: Solve for x
    x = 6,775.61/109.67
  6. Step 6: Final answer
    x = 61.78

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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.