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Finding the Fourth Proportional to 49.40, 74.09 and 16.90

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Solution

The fourth proportional to 49.40, 74.09 and 16.90 is: 25.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.40 : 74.09 = 16.90 : x
  2. Step 2: Convert to fraction form
    49.40/74.09 = 16.90/x
  3. Step 3: Cross multiply
    49.40x = 74.09 × 16.90
  4. Step 4: Simplify right side
    49.40x = 1,252.12
  5. Step 5: Solve for x
    x = 1,252.12/49.40
  6. Step 6: Final answer
    x = 25.35

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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.