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Finding the Fourth Proportional to 13.14, 19.65 and 12.00

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Solution

The fourth proportional to 13.14, 19.65 and 12.00 is: 17.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.14 : 19.65 = 12.00 : x
  2. Step 2: Convert to fraction form
    13.14/19.65 = 12.00/x
  3. Step 3: Cross multiply
    13.14x = 19.65 × 12.00
  4. Step 4: Simplify right side
    13.14x = 235.64
  5. Step 5: Solve for x
    x = 235.64/13.14
  6. Step 6: Final answer
    x = 17.93

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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.