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Finding the Fourth Proportional to 164.79, 227.42 and 106.57

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Solution

The fourth proportional to 164.79, 227.42 and 106.57 is: 147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.79 : 227.42 = 106.57 : x
  2. Step 2: Convert to fraction form
    164.79/227.42 = 106.57/x
  3. Step 3: Cross multiply
    164.79x = 227.42 × 106.57
  4. Step 4: Simplify right side
    164.79x = 24,236.15
  5. Step 5: Solve for x
    x = 24,236.15/164.79
  6. Step 6: Final answer
    x = 147.07

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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.