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Finding the Fourth Proportional to 12.34, 18.66 and 12.34

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Solution

The fourth proportional to 12.34, 18.66 and 12.34 is: 18.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.34 : 18.66 = 12.34 : x
  2. Step 2: Convert to fraction form
    12.34/18.66 = 12.34/x
  3. Step 3: Cross multiply
    12.34x = 18.66 × 12.34
  4. Step 4: Simplify right side
    12.34x = 230.26
  5. Step 5: Solve for x
    x = 230.26/12.34
  6. Step 6: Final answer
    x = 18.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.