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Finding the Fourth Proportional to 119.84, 164.89 and 105.78

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Solution

The fourth proportional to 119.84, 164.89 and 105.78 is: 145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.84 : 164.89 = 105.78 : x
  2. Step 2: Convert to fraction form
    119.84/164.89 = 105.78/x
  3. Step 3: Cross multiply
    119.84x = 164.89 × 105.78
  4. Step 4: Simplify right side
    119.84x = 17,441.80
  5. Step 5: Solve for x
    x = 17,441.80/119.84
  6. Step 6: Final answer
    x = 145.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.