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Finding the Fourth Proportional to 165.07, 227.71 and 106.75

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Solution

The fourth proportional to 165.07, 227.71 and 106.75 is: 147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.07 : 227.71 = 106.75 : x
  2. Step 2: Convert to fraction form
    165.07/227.71 = 106.75/x
  3. Step 3: Cross multiply
    165.07x = 227.71 × 106.75
  4. Step 4: Simplify right side
    165.07x = 24,308.04
  5. Step 5: Solve for x
    x = 24,308.04/165.07
  6. Step 6: Final answer
    x = 147.26

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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.