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Finding the Fourth Proportional to 165.82, 228.89 and 103.75

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Solution

The fourth proportional to 165.82, 228.89 and 103.75 is: 143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.82 : 228.89 = 103.75 : x
  2. Step 2: Convert to fraction form
    165.82/228.89 = 103.75/x
  3. Step 3: Cross multiply
    165.82x = 228.89 × 103.75
  4. Step 4: Simplify right side
    165.82x = 23,747.34
  5. Step 5: Solve for x
    x = 23,747.34/165.82
  6. Step 6: Final answer
    x = 143.21

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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.