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Finding the Fourth Proportional to 96.01, 144.17 and 92.33

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Solution

The fourth proportional to 96.01, 144.17 and 92.33 is: 138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.01 : 144.17 = 92.33 : x
  2. Step 2: Convert to fraction form
    96.01/144.17 = 92.33/x
  3. Step 3: Cross multiply
    96.01x = 144.17 × 92.33
  4. Step 4: Simplify right side
    96.01x = 13,311.22
  5. Step 5: Solve for x
    x = 13,311.22/96.01
  6. Step 6: Final answer
    x = 138.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.