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Finding the Fourth Proportional to 9.42, 14.11 and 5.39

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Solution

The fourth proportional to 9.42, 14.11 and 5.39 is: 8.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.42 : 14.11 = 5.39 : x
  2. Step 2: Convert to fraction form
    9.42/14.11 = 5.39/x
  3. Step 3: Cross multiply
    9.42x = 14.11 × 5.39
  4. Step 4: Simplify right side
    9.42x = 75.96
  5. Step 5: Solve for x
    x = 75.96/9.42
  6. Step 6: Final answer
    x = 8.07

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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.