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Finding the Fourth Proportional to 119.00, 164.25 and 72.43

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Solution

The fourth proportional to 119.00, 164.25 and 72.43 is: 99.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.00 : 164.25 = 72.43 : x
  2. Step 2: Convert to fraction form
    119.00/164.25 = 72.43/x
  3. Step 3: Cross multiply
    119.00x = 164.25 × 72.43
  4. Step 4: Simplify right side
    119.00x = 11,896.22
  5. Step 5: Solve for x
    x = 11,896.22/119.00
  6. Step 6: Final answer
    x = 99.97

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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.