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Finding the Fourth Proportional to 165.27, 228 and 106.23

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Solution

The fourth proportional to 165.27, 228 and 106.23 is: 146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.27 : 228 = 106.23 : x
  2. Step 2: Convert to fraction form
    165.27/228 = 106.23/x
  3. Step 3: Cross multiply
    165.27x = 228 × 106.23
  4. Step 4: Simplify right side
    165.27x = 24,220.44
  5. Step 5: Solve for x
    x = 24,220.44/165.27
  6. Step 6: Final answer
    x = 146.55

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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.