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Finding the Fourth Proportional to 165.78, 228.68 and 103.54

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Solution

The fourth proportional to 165.78, 228.68 and 103.54 is: 142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 228.68 = 103.54 : x
  2. Step 2: Convert to fraction form
    165.78/228.68 = 103.54/x
  3. Step 3: Cross multiply
    165.78x = 228.68 × 103.54
  4. Step 4: Simplify right side
    165.78x = 23,677.53
  5. Step 5: Solve for x
    x = 23,677.53/165.78
  6. Step 6: Final answer
    x = 142.82

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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.