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Finding the Fourth Proportional to 165.91, 228.89 and 96.91

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Solution

The fourth proportional to 165.91, 228.89 and 96.91 is: 133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.91 : 228.89 = 96.91 : x
  2. Step 2: Convert to fraction form
    165.91/228.89 = 96.91/x
  3. Step 3: Cross multiply
    165.91x = 228.89 × 96.91
  4. Step 4: Simplify right side
    165.91x = 22,180.59
  5. Step 5: Solve for x
    x = 22,180.59/165.91
  6. Step 6: Final answer
    x = 133.69

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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.