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Finding the Fourth Proportional to 19.38, 26.75 and 12.10

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Solution

The fourth proportional to 19.38, 26.75 and 12.10 is: 16.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.38 : 26.75 = 12.10 : x
  2. Step 2: Convert to fraction form
    19.38/26.75 = 12.10/x
  3. Step 3: Cross multiply
    19.38x = 26.75 × 12.10
  4. Step 4: Simplify right side
    19.38x = 323.68
  5. Step 5: Solve for x
    x = 323.68/19.38
  6. Step 6: Final answer
    x = 16.70

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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.