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Finding the Fourth Proportional to 165.84, 228.97 and 103.76

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Solution

The fourth proportional to 165.84, 228.97 and 103.76 is: 143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 228.97 = 103.76 : x
  2. Step 2: Convert to fraction form
    165.84/228.97 = 103.76/x
  3. Step 3: Cross multiply
    165.84x = 228.97 × 103.76
  4. Step 4: Simplify right side
    165.84x = 23,757.41
  5. Step 5: Solve for x
    x = 23,757.41/165.84
  6. Step 6: Final answer
    x = 143.26

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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.