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Finding the Fourth Proportional to 12.34, 18.49 and 5.91

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Solution

The fourth proportional to 12.34, 18.49 and 5.91 is: 8.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.34 : 18.49 = 5.91 : x
  2. Step 2: Convert to fraction form
    12.34/18.49 = 5.91/x
  3. Step 3: Cross multiply
    12.34x = 18.49 × 5.91
  4. Step 4: Simplify right side
    12.34x = 109.28
  5. Step 5: Solve for x
    x = 109.28/12.34
  6. Step 6: Final answer
    x = 8.86

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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.