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Finding the Fourth Proportional to 12.36, 17.02 and 9.76

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Solution

The fourth proportional to 12.36, 17.02 and 9.76 is: 13.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.36 : 17.02 = 9.76 : x
  2. Step 2: Convert to fraction form
    12.36/17.02 = 9.76/x
  3. Step 3: Cross multiply
    12.36x = 17.02 × 9.76
  4. Step 4: Simplify right side
    12.36x = 166.05
  5. Step 5: Solve for x
    x = 166.05/12.36
  6. Step 6: Final answer
    x = 13.43

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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.