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Finding the Fourth Proportional to 164.76, 227.38 and 94.83

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Solution

The fourth proportional to 164.76, 227.38 and 94.83 is: 130.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.76 : 227.38 = 94.83 : x
  2. Step 2: Convert to fraction form
    164.76/227.38 = 94.83/x
  3. Step 3: Cross multiply
    164.76x = 227.38 × 94.83
  4. Step 4: Simplify right side
    164.76x = 21,562.45
  5. Step 5: Solve for x
    x = 21,562.45/164.76
  6. Step 6: Final answer
    x = 130.87

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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.