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Finding the Fourth Proportional to 119.08, 164.24 and 82.22

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Solution

The fourth proportional to 119.08, 164.24 and 82.22 is: 113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.08 : 164.24 = 82.22 : x
  2. Step 2: Convert to fraction form
    119.08/164.24 = 82.22/x
  3. Step 3: Cross multiply
    119.08x = 164.24 × 82.22
  4. Step 4: Simplify right side
    119.08x = 13,503.81
  5. Step 5: Solve for x
    x = 13,503.81/119.08
  6. Step 6: Final answer
    x = 113.40

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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.