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Finding the Fourth Proportional to 13.12, 19.72 and 8.08

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Solution

The fourth proportional to 13.12, 19.72 and 8.08 is: 12.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.12 : 19.72 = 8.08 : x
  2. Step 2: Convert to fraction form
    13.12/19.72 = 8.08/x
  3. Step 3: Cross multiply
    13.12x = 19.72 × 8.08
  4. Step 4: Simplify right side
    13.12x = 159.34
  5. Step 5: Solve for x
    x = 159.34/13.12
  6. Step 6: Final answer
    x = 12.14

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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.