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Finding the Fourth Proportional to 13.78, 19.02 and 9.70

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Solution

The fourth proportional to 13.78, 19.02 and 9.70 is: 13.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.78 : 19.02 = 9.70 : x
  2. Step 2: Convert to fraction form
    13.78/19.02 = 9.70/x
  3. Step 3: Cross multiply
    13.78x = 19.02 × 9.70
  4. Step 4: Simplify right side
    13.78x = 184.49
  5. Step 5: Solve for x
    x = 184.49/13.78
  6. Step 6: Final answer
    x = 13.39

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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.