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Finding the Fourth Proportional to 83.99, 116.03 and 69.59

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Solution

The fourth proportional to 83.99, 116.03 and 69.59 is: 96.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.99 : 116.03 = 69.59 : x
  2. Step 2: Convert to fraction form
    83.99/116.03 = 69.59/x
  3. Step 3: Cross multiply
    83.99x = 116.03 × 69.59
  4. Step 4: Simplify right side
    83.99x = 8,074.53
  5. Step 5: Solve for x
    x = 8,074.53/83.99
  6. Step 6: Final answer
    x = 96.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.