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Finding the Fourth Proportional to 21.69, 29.93 and 11.99

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Solution

The fourth proportional to 21.69, 29.93 and 11.99 is: 16.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.69 : 29.93 = 11.99 : x
  2. Step 2: Convert to fraction form
    21.69/29.93 = 11.99/x
  3. Step 3: Cross multiply
    21.69x = 29.93 × 11.99
  4. Step 4: Simplify right side
    21.69x = 358.71
  5. Step 5: Solve for x
    x = 358.71/21.69
  6. Step 6: Final answer
    x = 16.54

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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.