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Finding the Fourth Proportional to 8.79, 13.22 and 5.42

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Solution

The fourth proportional to 8.79, 13.22 and 5.42 is: 8.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.79 : 13.22 = 5.42 : x
  2. Step 2: Convert to fraction form
    8.79/13.22 = 5.42/x
  3. Step 3: Cross multiply
    8.79x = 13.22 × 5.42
  4. Step 4: Simplify right side
    8.79x = 71.56
  5. Step 5: Solve for x
    x = 71.56/8.79
  6. Step 6: Final answer
    x = 8.14

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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.