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Finding the Fourth Proportional to 90.83, 125.36 and 54

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Solution

The fourth proportional to 90.83, 125.36 and 54 is: 74.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.83 : 125.36 = 54 : x
  2. Step 2: Convert to fraction form
    90.83/125.36 = 54/x
  3. Step 3: Cross multiply
    90.83x = 125.36 × 54
  4. Step 4: Simplify right side
    90.83x = 6,769.44
  5. Step 5: Solve for x
    x = 6,769.44/90.83
  6. Step 6: Final answer
    x = 74.53

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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.