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Finding the Fourth Proportional to 12.10, 18.12 and 6.40

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Solution

The fourth proportional to 12.10, 18.12 and 6.40 is: 9.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.10 : 18.12 = 6.40 : x
  2. Step 2: Convert to fraction form
    12.10/18.12 = 6.40/x
  3. Step 3: Cross multiply
    12.10x = 18.12 × 6.40
  4. Step 4: Simplify right side
    12.10x = 115.97
  5. Step 5: Solve for x
    x = 115.97/12.10
  6. Step 6: Final answer
    x = 9.58

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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.