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Finding the Fourth Proportional to 164.57, 227.09 and 98.13

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Solution

The fourth proportional to 164.57, 227.09 and 98.13 is: 135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.57 : 227.09 = 98.13 : x
  2. Step 2: Convert to fraction form
    164.57/227.09 = 98.13/x
  3. Step 3: Cross multiply
    164.57x = 227.09 × 98.13
  4. Step 4: Simplify right side
    164.57x = 22,285.22
  5. Step 5: Solve for x
    x = 22,285.22/164.57
  6. Step 6: Final answer
    x = 135.42

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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.