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Finding the Fourth Proportional to 11.54, 15.85 and 10.16

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Solution

The fourth proportional to 11.54, 15.85 and 10.16 is: 13.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.54 : 15.85 = 10.16 : x
  2. Step 2: Convert to fraction form
    11.54/15.85 = 10.16/x
  3. Step 3: Cross multiply
    11.54x = 15.85 × 10.16
  4. Step 4: Simplify right side
    11.54x = 160.99
  5. Step 5: Solve for x
    x = 160.99/11.54
  6. Step 6: Final answer
    x = 13.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.