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Finding the Fourth Proportional to 12.97, 19.42 and 9.75

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Solution

The fourth proportional to 12.97, 19.42 and 9.75 is: 14.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.97 : 19.42 = 9.75 : x
  2. Step 2: Convert to fraction form
    12.97/19.42 = 9.75/x
  3. Step 3: Cross multiply
    12.97x = 19.42 × 9.75
  4. Step 4: Simplify right side
    12.97x = 189.41
  5. Step 5: Solve for x
    x = 189.41/12.97
  6. Step 6: Final answer
    x = 14.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.