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Finding the Fourth Proportional to 16.00, 23.90 and 10.54

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Solution

The fourth proportional to 16.00, 23.90 and 10.54 is: 15.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.00 : 23.90 = 10.54 : x
  2. Step 2: Convert to fraction form
    16.00/23.90 = 10.54/x
  3. Step 3: Cross multiply
    16.00x = 23.90 × 10.54
  4. Step 4: Simplify right side
    16.00x = 251.76
  5. Step 5: Solve for x
    x = 251.76/16.00
  6. Step 6: Final answer
    x = 15.74

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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.