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Finding the Fourth Proportional to 13.53, 18.67 and 9.16

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Solution

The fourth proportional to 13.53, 18.67 and 9.16 is: 12.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.53 : 18.67 = 9.16 : x
  2. Step 2: Convert to fraction form
    13.53/18.67 = 9.16/x
  3. Step 3: Cross multiply
    13.53x = 18.67 × 9.16
  4. Step 4: Simplify right side
    13.53x = 170.92
  5. Step 5: Solve for x
    x = 170.92/13.53
  6. Step 6: Final answer
    x = 12.64

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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.