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Finding the Fourth Proportional to 11.60, 16.04 and 9.56

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Solution

The fourth proportional to 11.60, 16.04 and 9.56 is: 13.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.60 : 16.04 = 9.56 : x
  2. Step 2: Convert to fraction form
    11.60/16.04 = 9.56/x
  3. Step 3: Cross multiply
    11.60x = 16.04 × 9.56
  4. Step 4: Simplify right side
    11.60x = 153.34
  5. Step 5: Solve for x
    x = 153.34/11.60
  6. Step 6: Final answer
    x = 13.22

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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.