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Finding the Fourth Proportional to 12.09, 18.12 and 7.01

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Solution

The fourth proportional to 12.09, 18.12 and 7.01 is: 10.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.09 : 18.12 = 7.01 : x
  2. Step 2: Convert to fraction form
    12.09/18.12 = 7.01/x
  3. Step 3: Cross multiply
    12.09x = 18.12 × 7.01
  4. Step 4: Simplify right side
    12.09x = 127.07
  5. Step 5: Solve for x
    x = 127.07/12.09
  6. Step 6: Final answer
    x = 10.51

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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.