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Finding the Fourth Proportional to 13.54, 20.32 and 7.54

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Solution

The fourth proportional to 13.54, 20.32 and 7.54 is: 11.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.54 : 20.32 = 7.54 : x
  2. Step 2: Convert to fraction form
    13.54/20.32 = 7.54/x
  3. Step 3: Cross multiply
    13.54x = 20.32 × 7.54
  4. Step 4: Simplify right side
    13.54x = 153.21
  5. Step 5: Solve for x
    x = 153.21/13.54
  6. Step 6: Final answer
    x = 11.32

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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.