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Finding the Fourth Proportional to 16.00, 23.90 and 11.48

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Solution

The fourth proportional to 16.00, 23.90 and 11.48 is: 17.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.00 : 23.90 = 11.48 : x
  2. Step 2: Convert to fraction form
    16.00/23.90 = 11.48/x
  3. Step 3: Cross multiply
    16.00x = 23.90 × 11.48
  4. Step 4: Simplify right side
    16.00x = 274.20
  5. Step 5: Solve for x
    x = 274.20/16.00
  6. Step 6: Final answer
    x = 17.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.