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Finding the Fourth Proportional to 13.10, 18.09 and 10.02

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Solution

The fourth proportional to 13.10, 18.09 and 10.02 is: 13.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.10 : 18.09 = 10.02 : x
  2. Step 2: Convert to fraction form
    13.10/18.09 = 10.02/x
  3. Step 3: Cross multiply
    13.10x = 18.09 × 10.02
  4. Step 4: Simplify right side
    13.10x = 181.37
  5. Step 5: Solve for x
    x = 181.37/13.10
  6. Step 6: Final answer
    x = 13.85

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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.