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Finding the Fourth Proportional to 164, 226.30 and 94.06

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Solution

The fourth proportional to 164, 226.30 and 94.06 is: 129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 226.30 = 94.06 : x
  2. Step 2: Convert to fraction form
    164/226.30 = 94.06/x
  3. Step 3: Cross multiply
    164x = 226.30 × 94.06
  4. Step 4: Simplify right side
    164x = 21,285.78
  5. Step 5: Solve for x
    x = 21,285.78/164
  6. Step 6: Final answer
    x = 129.79

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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.