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Finding the Fourth Proportional to 96.83, 145.31 and 71.22

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Solution

The fourth proportional to 96.83, 145.31 and 71.22 is: 106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.83 : 145.31 = 71.22 : x
  2. Step 2: Convert to fraction form
    96.83/145.31 = 71.22/x
  3. Step 3: Cross multiply
    96.83x = 145.31 × 71.22
  4. Step 4: Simplify right side
    96.83x = 10,348.98
  5. Step 5: Solve for x
    x = 10,348.98/96.83
  6. Step 6: Final answer
    x = 106.88

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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.