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Finding the Fourth Proportional to 83.04, 123.91 and 65.73

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Solution

The fourth proportional to 83.04, 123.91 and 65.73 is: 98.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.04 : 123.91 = 65.73 : x
  2. Step 2: Convert to fraction form
    83.04/123.91 = 65.73/x
  3. Step 3: Cross multiply
    83.04x = 123.91 × 65.73
  4. Step 4: Simplify right side
    83.04x = 8,143.66
  5. Step 5: Solve for x
    x = 8,143.66/83.04
  6. Step 6: Final answer
    x = 98.07

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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.