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Finding the Fourth Proportional to 164, 226.34 and 94.08

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Solution

The fourth proportional to 164, 226.34 and 94.08 is: 129.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 226.34 = 94.08 : x
  2. Step 2: Convert to fraction form
    164/226.34 = 94.08/x
  3. Step 3: Cross multiply
    164x = 226.34 × 94.08
  4. Step 4: Simplify right side
    164x = 21,294.07
  5. Step 5: Solve for x
    x = 21,294.07/164
  6. Step 6: Final answer
    x = 129.84

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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.