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Finding the Fourth Proportional to 10.94, 16.29 and 10.80

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Solution

The fourth proportional to 10.94, 16.29 and 10.80 is: 16.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.94 : 16.29 = 10.80 : x
  2. Step 2: Convert to fraction form
    10.94/16.29 = 10.80/x
  3. Step 3: Cross multiply
    10.94x = 16.29 × 10.80
  4. Step 4: Simplify right side
    10.94x = 175.93
  5. Step 5: Solve for x
    x = 175.93/10.94
  6. Step 6: Final answer
    x = 16.09

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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.