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Finding the Fourth Proportional to 5.39, 7.42 and 4.23

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Solution

The fourth proportional to 5.39, 7.42 and 4.23 is: 5.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.39 : 7.42 = 4.23 : x
  2. Step 2: Convert to fraction form
    5.39/7.42 = 4.23/x
  3. Step 3: Cross multiply
    5.39x = 7.42 × 4.23
  4. Step 4: Simplify right side
    5.39x = 31.39
  5. Step 5: Solve for x
    x = 31.39/5.39
  6. Step 6: Final answer
    x = 5.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.