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Finding the Fourth Proportional to 83.95, 125.79 and 49.59

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Solution

The fourth proportional to 83.95, 125.79 and 49.59 is: 74.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.95 : 125.79 = 49.59 : x
  2. Step 2: Convert to fraction form
    83.95/125.79 = 49.59/x
  3. Step 3: Cross multiply
    83.95x = 125.79 × 49.59
  4. Step 4: Simplify right side
    83.95x = 6,237.60
  5. Step 5: Solve for x
    x = 6,237.60/83.95
  6. Step 6: Final answer
    x = 74.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.