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Finding the Fourth Proportional to 165.63, 228.56 and 96.63

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Solution

The fourth proportional to 165.63, 228.56 and 96.63 is: 133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.63 : 228.56 = 96.63 : x
  2. Step 2: Convert to fraction form
    165.63/228.56 = 96.63/x
  3. Step 3: Cross multiply
    165.63x = 228.56 × 96.63
  4. Step 4: Simplify right side
    165.63x = 22,084.85
  5. Step 5: Solve for x
    x = 22,084.85/165.63
  6. Step 6: Final answer
    x = 133.34

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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.