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Finding the Fourth Proportional to 83.08, 123.94 and 73.97

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Solution

The fourth proportional to 83.08, 123.94 and 73.97 is: 110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.08 : 123.94 = 73.97 : x
  2. Step 2: Convert to fraction form
    83.08/123.94 = 73.97/x
  3. Step 3: Cross multiply
    83.08x = 123.94 × 73.97
  4. Step 4: Simplify right side
    83.08x = 9,167.84
  5. Step 5: Solve for x
    x = 9,167.84/83.08
  6. Step 6: Final answer
    x = 110.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.