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Finding the Fourth Proportional to 4.11, 5.63 and 4.06

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Solution

The fourth proportional to 4.11, 5.63 and 4.06 is: 5.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.11 : 5.63 = 4.06 : x
  2. Step 2: Convert to fraction form
    4.11/5.63 = 4.06/x
  3. Step 3: Cross multiply
    4.11x = 5.63 × 4.06
  4. Step 4: Simplify right side
    4.11x = 22.86
  5. Step 5: Solve for x
    x = 22.86/4.11
  6. Step 6: Final answer
    x = 5.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.