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Finding the Fourth Proportional to 83.61, 124.74 and 81.99

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Solution

The fourth proportional to 83.61, 124.74 and 81.99 is: 122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.61 : 124.74 = 81.99 : x
  2. Step 2: Convert to fraction form
    83.61/124.74 = 81.99/x
  3. Step 3: Cross multiply
    83.61x = 124.74 × 81.99
  4. Step 4: Simplify right side
    83.61x = 10,227.43
  5. Step 5: Solve for x
    x = 10,227.43/83.61
  6. Step 6: Final answer
    x = 122.32

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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.