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Finding the Fourth Proportional to 119.21, 164.49 and 82.36

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Solution

The fourth proportional to 119.21, 164.49 and 82.36 is: 113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.21 : 164.49 = 82.36 : x
  2. Step 2: Convert to fraction form
    119.21/164.49 = 82.36/x
  3. Step 3: Cross multiply
    119.21x = 164.49 × 82.36
  4. Step 4: Simplify right side
    119.21x = 13,547.29
  5. Step 5: Solve for x
    x = 13,547.29/119.21
  6. Step 6: Final answer
    x = 113.65

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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.