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Finding the Fourth Proportional to 164.85, 227.41 and 106.66

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Solution

The fourth proportional to 164.85, 227.41 and 106.66 is: 147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.85 : 227.41 = 106.66 : x
  2. Step 2: Convert to fraction form
    164.85/227.41 = 106.66/x
  3. Step 3: Cross multiply
    164.85x = 227.41 × 106.66
  4. Step 4: Simplify right side
    164.85x = 24,255.55
  5. Step 5: Solve for x
    x = 24,255.55/164.85
  6. Step 6: Final answer
    x = 147.14

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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.