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Finding the Fourth Proportional to 119.71, 164.79 and 105.15

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Solution

The fourth proportional to 119.71, 164.79 and 105.15 is: 144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.71 : 164.79 = 105.15 : x
  2. Step 2: Convert to fraction form
    119.71/164.79 = 105.15/x
  3. Step 3: Cross multiply
    119.71x = 164.79 × 105.15
  4. Step 4: Simplify right side
    119.71x = 17,327.67
  5. Step 5: Solve for x
    x = 17,327.67/119.71
  6. Step 6: Final answer
    x = 144.75

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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.