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Finding the Fourth Proportional to 13.70, 18.92 and 10.07

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Solution

The fourth proportional to 13.70, 18.92 and 10.07 is: 13.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.70 : 18.92 = 10.07 : x
  2. Step 2: Convert to fraction form
    13.70/18.92 = 10.07/x
  3. Step 3: Cross multiply
    13.70x = 18.92 × 10.07
  4. Step 4: Simplify right side
    13.70x = 190.52
  5. Step 5: Solve for x
    x = 190.52/13.70
  6. Step 6: Final answer
    x = 13.91

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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.