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Finding the Fourth Proportional to 163.03, 224.97 and 96.64

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Solution

The fourth proportional to 163.03, 224.97 and 96.64 is: 133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.03 : 224.97 = 96.64 : x
  2. Step 2: Convert to fraction form
    163.03/224.97 = 96.64/x
  3. Step 3: Cross multiply
    163.03x = 224.97 × 96.64
  4. Step 4: Simplify right side
    163.03x = 21,741.10
  5. Step 5: Solve for x
    x = 21,741.10/163.03
  6. Step 6: Final answer
    x = 133.36

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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.