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Finding the Fourth Proportional to 4.11, 5.42 and 4.11

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Solution

The fourth proportional to 4.11, 5.42 and 4.11 is: 5.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.11 : 5.42 = 4.11 : x
  2. Step 2: Convert to fraction form
    4.11/5.42 = 4.11/x
  3. Step 3: Cross multiply
    4.11x = 5.42 × 4.11
  4. Step 4: Simplify right side
    4.11x = 22.28
  5. Step 5: Solve for x
    x = 22.28/4.11
  6. Step 6: Final answer
    x = 5.42

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.