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Finding the Fourth Proportional to 13.49, 20.10 and 12.98

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Solution

The fourth proportional to 13.49, 20.10 and 12.98 is: 19.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.49 : 20.10 = 12.98 : x
  2. Step 2: Convert to fraction form
    13.49/20.10 = 12.98/x
  3. Step 3: Cross multiply
    13.49x = 20.10 × 12.98
  4. Step 4: Simplify right side
    13.49x = 260.95
  5. Step 5: Solve for x
    x = 260.95/13.49
  6. Step 6: Final answer
    x = 19.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.