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Finding the Fourth Proportional to 13.76, 20.65 and 9.75

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Solution

The fourth proportional to 13.76, 20.65 and 9.75 is: 14.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.76 : 20.65 = 9.75 : x
  2. Step 2: Convert to fraction form
    13.76/20.65 = 9.75/x
  3. Step 3: Cross multiply
    13.76x = 20.65 × 9.75
  4. Step 4: Simplify right side
    13.76x = 201.31
  5. Step 5: Solve for x
    x = 201.31/13.76
  6. Step 6: Final answer
    x = 14.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.