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Finding the Fourth Proportional to 20.00, 29.87 and 16.59

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Solution

The fourth proportional to 20.00, 29.87 and 16.59 is: 24.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.00 : 29.87 = 16.59 : x
  2. Step 2: Convert to fraction form
    20.00/29.87 = 16.59/x
  3. Step 3: Cross multiply
    20.00x = 29.87 × 16.59
  4. Step 4: Simplify right side
    20.00x = 495.39
  5. Step 5: Solve for x
    x = 495.39/20.00
  6. Step 6: Final answer
    x = 24.78

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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.