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Finding the Fourth Proportional to 11.37, 15.72 and 9.75

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Solution

The fourth proportional to 11.37, 15.72 and 9.75 is: 13.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.37 : 15.72 = 9.75 : x
  2. Step 2: Convert to fraction form
    11.37/15.72 = 9.75/x
  3. Step 3: Cross multiply
    11.37x = 15.72 × 9.75
  4. Step 4: Simplify right side
    11.37x = 153.27
  5. Step 5: Solve for x
    x = 153.27/11.37
  6. Step 6: Final answer
    x = 13.48

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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.