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Finding the Fourth Proportional to 119, 164.30 and 82.23

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Solution

The fourth proportional to 119, 164.30 and 82.23 is: 113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119 : 164.30 = 82.23 : x
  2. Step 2: Convert to fraction form
    119/164.30 = 82.23/x
  3. Step 3: Cross multiply
    119x = 164.30 × 82.23
  4. Step 4: Simplify right side
    119x = 13,510.39
  5. Step 5: Solve for x
    x = 13,510.39/119
  6. Step 6: Final answer
    x = 113.53

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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.