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Finding the Fourth Proportional to 83.99, 125.24 and 78.21

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Solution

The fourth proportional to 83.99, 125.24 and 78.21 is: 116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.99 : 125.24 = 78.21 : x
  2. Step 2: Convert to fraction form
    83.99/125.24 = 78.21/x
  3. Step 3: Cross multiply
    83.99x = 125.24 × 78.21
  4. Step 4: Simplify right side
    83.99x = 9,794.63
  5. Step 5: Solve for x
    x = 9,794.63/83.99
  6. Step 6: Final answer
    x = 116.62

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