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Finding the Fourth Proportional to 10.91, 16.44 and 10.77

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Solution

The fourth proportional to 10.91, 16.44 and 10.77 is: 16.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.91 : 16.44 = 10.77 : x
  2. Step 2: Convert to fraction form
    10.91/16.44 = 10.77/x
  3. Step 3: Cross multiply
    10.91x = 16.44 × 10.77
  4. Step 4: Simplify right side
    10.91x = 177.00
  5. Step 5: Solve for x
    x = 177.00/10.91
  6. Step 6: Final answer
    x = 16.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.