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Finding the Fourth Proportional to 96.10, 144.09 and 71.33

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Solution

The fourth proportional to 96.10, 144.09 and 71.33 is: 106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.10 : 144.09 = 71.33 : x
  2. Step 2: Convert to fraction form
    96.10/144.09 = 71.33/x
  3. Step 3: Cross multiply
    96.10x = 144.09 × 71.33
  4. Step 4: Simplify right side
    96.10x = 10,277.22
  5. Step 5: Solve for x
    x = 10,277.22/96.10
  6. Step 6: Final answer
    x = 106.95

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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.