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Finding the Fourth Proportional to 11.65, 16.06 and 9.71

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Solution

The fourth proportional to 11.65, 16.06 and 9.71 is: 13.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.65 : 16.06 = 9.71 : x
  2. Step 2: Convert to fraction form
    11.65/16.06 = 9.71/x
  3. Step 3: Cross multiply
    11.65x = 16.06 × 9.71
  4. Step 4: Simplify right side
    11.65x = 155.81
  5. Step 5: Solve for x
    x = 155.81/11.65
  6. Step 6: Final answer
    x = 13.38

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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.