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Finding the Fourth Proportional to 13.29, 18.36 and 10.02

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Solution

The fourth proportional to 13.29, 18.36 and 10.02 is: 13.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.29 : 18.36 = 10.02 : x
  2. Step 2: Convert to fraction form
    13.29/18.36 = 10.02/x
  3. Step 3: Cross multiply
    13.29x = 18.36 × 10.02
  4. Step 4: Simplify right side
    13.29x = 183.97
  5. Step 5: Solve for x
    x = 183.97/13.29
  6. Step 6: Final answer
    x = 13.84

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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.