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Finding the Fourth Proportional to 90.82, 125.49 and 74.50

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Solution

The fourth proportional to 90.82, 125.49 and 74.50 is: 102.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.82 : 125.49 = 74.50 : x
  2. Step 2: Convert to fraction form
    90.82/125.49 = 74.50/x
  3. Step 3: Cross multiply
    90.82x = 125.49 × 74.50
  4. Step 4: Simplify right side
    90.82x = 9,349.01
  5. Step 5: Solve for x
    x = 9,349.01/90.82
  6. Step 6: Final answer
    x = 102.94

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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.