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Finding the Fourth Proportional to 16.00, 23.97 and 14.77

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Solution

The fourth proportional to 16.00, 23.97 and 14.77 is: 22.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.00 : 23.97 = 14.77 : x
  2. Step 2: Convert to fraction form
    16.00/23.97 = 14.77/x
  3. Step 3: Cross multiply
    16.00x = 23.97 × 14.77
  4. Step 4: Simplify right side
    16.00x = 354.12
  5. Step 5: Solve for x
    x = 354.12/16.00
  6. Step 6: Final answer
    x = 22.14

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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.