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Finding the Fourth Proportional to 11.51, 15.86 and 10.66

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Solution

The fourth proportional to 11.51, 15.86 and 10.66 is: 14.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.51 : 15.86 = 10.66 : x
  2. Step 2: Convert to fraction form
    11.51/15.86 = 10.66/x
  3. Step 3: Cross multiply
    11.51x = 15.86 × 10.66
  4. Step 4: Simplify right side
    11.51x = 168.94
  5. Step 5: Solve for x
    x = 168.94/11.51
  6. Step 6: Final answer
    x = 14.68

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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.