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Finding the Fourth Proportional to 165.16, 227.80 and 106.16

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Solution

The fourth proportional to 165.16, 227.80 and 106.16 is: 146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.16 : 227.80 = 106.16 : x
  2. Step 2: Convert to fraction form
    165.16/227.80 = 106.16/x
  3. Step 3: Cross multiply
    165.16x = 227.80 × 106.16
  4. Step 4: Simplify right side
    165.16x = 24,183.25
  5. Step 5: Solve for x
    x = 24,183.25/165.16
  6. Step 6: Final answer
    x = 146.42

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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.