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Finding the Fourth Proportional to 165.40, 228.23 and 103.22

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Solution

The fourth proportional to 165.40, 228.23 and 103.22 is: 142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.40 : 228.23 = 103.22 : x
  2. Step 2: Convert to fraction form
    165.40/228.23 = 103.22/x
  3. Step 3: Cross multiply
    165.40x = 228.23 × 103.22
  4. Step 4: Simplify right side
    165.40x = 23,557.52
  5. Step 5: Solve for x
    x = 23,557.52/165.40
  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.