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Finding the Fourth Proportional to 16.70, 25.00 and 13.84

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Solution

The fourth proportional to 16.70, 25.00 and 13.84 is: 20.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.70 : 25.00 = 13.84 : x
  2. Step 2: Convert to fraction form
    16.70/25.00 = 13.84/x
  3. Step 3: Cross multiply
    16.70x = 25.00 × 13.84
  4. Step 4: Simplify right side
    16.70x = 345.90
  5. Step 5: Solve for x
    x = 345.90/16.70
  6. Step 6: Final answer
    x = 20.72

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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.