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Finding the Fourth Proportional to 83.84, 115.73 and 59.29

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Solution

The fourth proportional to 83.84, 115.73 and 59.29 is: 81.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.84 : 115.73 = 59.29 : x
  2. Step 2: Convert to fraction form
    83.84/115.73 = 59.29/x
  3. Step 3: Cross multiply
    83.84x = 115.73 × 59.29
  4. Step 4: Simplify right side
    83.84x = 6,861.63
  5. Step 5: Solve for x
    x = 6,861.63/83.84
  6. Step 6: Final answer
    x = 81.84

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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.