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Finding the Fourth Proportional to 13.13, 19.69 and 5.42

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Solution

The fourth proportional to 13.13, 19.69 and 5.42 is: 8.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.13 : 19.69 = 5.42 : x
  2. Step 2: Convert to fraction form
    13.13/19.69 = 5.42/x
  3. Step 3: Cross multiply
    13.13x = 19.69 × 5.42
  4. Step 4: Simplify right side
    13.13x = 106.63
  5. Step 5: Solve for x
    x = 106.63/13.13
  6. Step 6: Final answer
    x = 8.12

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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.