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Finding the Fourth Proportional to 16.00, 24.00 and 5.85

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Solution

The fourth proportional to 16.00, 24.00 and 5.85 is: 8.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.00 : 24.00 = 5.85 : x
  2. Step 2: Convert to fraction form
    16.00/24.00 = 5.85/x
  3. Step 3: Cross multiply
    16.00x = 24.00 × 5.85
  4. Step 4: Simplify right side
    16.00x = 140.51
  5. Step 5: Solve for x
    x = 140.51/16.00
  6. Step 6: Final answer
    x = 8.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.