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Finding the Fourth Proportional to 8.27, 12.34 and 7.00

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Solution

The fourth proportional to 8.27, 12.34 and 7.00 is: 10.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.27 : 12.34 = 7.00 : x
  2. Step 2: Convert to fraction form
    8.27/12.34 = 7.00/x
  3. Step 3: Cross multiply
    8.27x = 12.34 × 7.00
  4. Step 4: Simplify right side
    8.27x = 86.33
  5. Step 5: Solve for x
    x = 86.33/8.27
  6. Step 6: Final answer
    x = 10.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.