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Finding the Fourth Proportional to 83.75, 115.58 and 49.27

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Solution

The fourth proportional to 83.75, 115.58 and 49.27 is: 68.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.75 : 115.58 = 49.27 : x
  2. Step 2: Convert to fraction form
    83.75/115.58 = 49.27/x
  3. Step 3: Cross multiply
    83.75x = 115.58 × 49.27
  4. Step 4: Simplify right side
    83.75x = 5,694.63
  5. Step 5: Solve for x
    x = 5,694.63/83.75
  6. Step 6: Final answer
    x = 68.00

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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.