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Finding the Fourth Proportional to 165.41, 228.24 and 106.41

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Solution

The fourth proportional to 165.41, 228.24 and 106.41 is: 146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.41 : 228.24 = 106.41 : x
  2. Step 2: Convert to fraction form
    165.41/228.24 = 106.41/x
  3. Step 3: Cross multiply
    165.41x = 228.24 × 106.41
  4. Step 4: Simplify right side
    165.41x = 24,287.02
  5. Step 5: Solve for x
    x = 24,287.02/165.41
  6. Step 6: Final answer
    x = 146.83

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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.