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Finding the Fourth Proportional to 5.42, 8.12 and 3.42

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Solution

The fourth proportional to 5.42, 8.12 and 3.42 is: 5.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.42 : 8.12 = 3.42 : x
  2. Step 2: Convert to fraction form
    5.42/8.12 = 3.42/x
  3. Step 3: Cross multiply
    5.42x = 8.12 × 3.42
  4. Step 4: Simplify right side
    5.42x = 27.78
  5. Step 5: Solve for x
    x = 27.78/5.42
  6. Step 6: Final answer
    x = 5.12

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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.