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Finding the Fourth Proportional to 109.89, 164.97 and 105.84

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Solution

The fourth proportional to 109.89, 164.97 and 105.84 is: 158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.89 : 164.97 = 105.84 : x
  2. Step 2: Convert to fraction form
    109.89/164.97 = 105.84/x
  3. Step 3: Cross multiply
    109.89x = 164.97 × 105.84
  4. Step 4: Simplify right side
    109.89x = 17,460.42
  5. Step 5: Solve for x
    x = 17,460.42/109.89
  6. Step 6: Final answer
    x = 158.89

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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.