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Finding the Fourth Proportional to 164.11, 226.48 and 94.18

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Solution

The fourth proportional to 164.11, 226.48 and 94.18 is: 129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.11 : 226.48 = 94.18 : x
  2. Step 2: Convert to fraction form
    164.11/226.48 = 94.18/x
  3. Step 3: Cross multiply
    164.11x = 226.48 × 94.18
  4. Step 4: Simplify right side
    164.11x = 21,330.56
  5. Step 5: Solve for x
    x = 21,330.56/164.11
  6. Step 6: Final answer
    x = 129.98

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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.