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Finding the Fourth Proportional to 165.09, 227.84 and 106.12

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Solution

The fourth proportional to 165.09, 227.84 and 106.12 is: 146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.09 : 227.84 = 106.12 : x
  2. Step 2: Convert to fraction form
    165.09/227.84 = 106.12/x
  3. Step 3: Cross multiply
    165.09x = 227.84 × 106.12
  4. Step 4: Simplify right side
    165.09x = 24,178.38
  5. Step 5: Solve for x
    x = 24,178.38/165.09
  6. Step 6: Final answer
    x = 146.46

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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.