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Finding the Fourth Proportional to 19.12, 26.40 and 13.00

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Solution

The fourth proportional to 19.12, 26.40 and 13.00 is: 17.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.12 : 26.40 = 13.00 : x
  2. Step 2: Convert to fraction form
    19.12/26.40 = 13.00/x
  3. Step 3: Cross multiply
    19.12x = 26.40 × 13.00
  4. Step 4: Simplify right side
    19.12x = 343.19
  5. Step 5: Solve for x
    x = 343.19/19.12
  6. Step 6: Final answer
    x = 17.95

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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.