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Finding the Fourth Proportional to 4.05, 5.63 and 4.01

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Solution

The fourth proportional to 4.05, 5.63 and 4.01 is: 5.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.05 : 5.63 = 4.01 : x
  2. Step 2: Convert to fraction form
    4.05/5.63 = 4.01/x
  3. Step 3: Cross multiply
    4.05x = 5.63 × 4.01
  4. Step 4: Simplify right side
    4.05x = 22.58
  5. Step 5: Solve for x
    x = 22.58/4.05
  6. Step 6: Final answer
    x = 5.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.