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Finding the Fourth Proportional to 119.00, 164.12 and 100.62

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Solution

The fourth proportional to 119.00, 164.12 and 100.62 is: 138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.00 : 164.12 = 100.62 : x
  2. Step 2: Convert to fraction form
    119.00/164.12 = 100.62/x
  3. Step 3: Cross multiply
    119.00x = 164.12 × 100.62
  4. Step 4: Simplify right side
    119.00x = 16,513.25
  5. Step 5: Solve for x
    x = 16,513.25/119.00
  6. Step 6: Final answer
    x = 138.76

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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.