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Finding the Fourth Proportional to 165.54, 228.27 and 103.29

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Solution

The fourth proportional to 165.54, 228.27 and 103.29 is: 142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.54 : 228.27 = 103.29 : x
  2. Step 2: Convert to fraction form
    165.54/228.27 = 103.29/x
  3. Step 3: Cross multiply
    165.54x = 228.27 × 103.29
  4. Step 4: Simplify right side
    165.54x = 23,578.01
  5. Step 5: Solve for x
    x = 23,578.01/165.54
  6. Step 6: Final answer
    x = 142.43

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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.