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Finding the Fourth Proportional to 11.63, 16.04 and 7.74

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Solution

The fourth proportional to 11.63, 16.04 and 7.74 is: 10.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.63 : 16.04 = 7.74 : x
  2. Step 2: Convert to fraction form
    11.63/16.04 = 7.74/x
  3. Step 3: Cross multiply
    11.63x = 16.04 × 7.74
  4. Step 4: Simplify right side
    11.63x = 124.11
  5. Step 5: Solve for x
    x = 124.11/11.63
  6. Step 6: Final answer
    x = 10.68

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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.