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Finding the Fourth Proportional to 119, 164.26 and 73

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Solution

The fourth proportional to 119, 164.26 and 73 is: 100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119 : 164.26 = 73 : x
  2. Step 2: Convert to fraction form
    119/164.26 = 73/x
  3. Step 3: Cross multiply
    119x = 164.26 × 73
  4. Step 4: Simplify right side
    119x = 11,990.98
  5. Step 5: Solve for x
    x = 11,990.98/119
  6. Step 6: Final answer
    x = 100.76

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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.