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Finding the Fourth Proportional to 164.42, 226.86 and 94.46

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Solution

The fourth proportional to 164.42, 226.86 and 94.46 is: 130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.42 : 226.86 = 94.46 : x
  2. Step 2: Convert to fraction form
    164.42/226.86 = 94.46/x
  3. Step 3: Cross multiply
    164.42x = 226.86 × 94.46
  4. Step 4: Simplify right side
    164.42x = 21,429.20
  5. Step 5: Solve for x
    x = 21,429.20/164.42
  6. Step 6: Final answer
    x = 130.33

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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.