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Finding the Fourth Proportional to 16.00, 22.14 and 15.69

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Solution

The fourth proportional to 16.00, 22.14 and 15.69 is: 21.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.00 : 22.14 = 15.69 : x
  2. Step 2: Convert to fraction form
    16.00/22.14 = 15.69/x
  3. Step 3: Cross multiply
    16.00x = 22.14 × 15.69
  4. Step 4: Simplify right side
    16.00x = 347.46
  5. Step 5: Solve for x
    x = 347.46/16.00
  6. Step 6: Final answer
    x = 21.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.