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Finding the Fourth Proportional to 11.48, 15.76 and 9.65

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Solution

The fourth proportional to 11.48, 15.76 and 9.65 is: 13.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.48 : 15.76 = 9.65 : x
  2. Step 2: Convert to fraction form
    11.48/15.76 = 9.65/x
  3. Step 3: Cross multiply
    11.48x = 15.76 × 9.65
  4. Step 4: Simplify right side
    11.48x = 152.14
  5. Step 5: Solve for x
    x = 152.14/11.48
  6. Step 6: Final answer
    x = 13.26

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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.