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Finding the Fourth Proportional to 13.10, 19.61 and 8.29

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Solution

The fourth proportional to 13.10, 19.61 and 8.29 is: 12.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.10 : 19.61 = 8.29 : x
  2. Step 2: Convert to fraction form
    13.10/19.61 = 8.29/x
  3. Step 3: Cross multiply
    13.10x = 19.61 × 8.29
  4. Step 4: Simplify right side
    13.10x = 162.48
  5. Step 5: Solve for x
    x = 162.48/13.10
  6. Step 6: Final answer
    x = 12.40

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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.