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Finding the Fourth Proportional to 3.92, 5.40 and 2.30

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Solution

The fourth proportional to 3.92, 5.40 and 2.30 is: 3.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.92 : 5.40 = 2.30 : x
  2. Step 2: Convert to fraction form
    3.92/5.40 = 2.30/x
  3. Step 3: Cross multiply
    3.92x = 5.40 × 2.30
  4. Step 4: Simplify right side
    3.92x = 12.41
  5. Step 5: Solve for x
    x = 12.41/3.92
  6. Step 6: Final answer
    x = 3.17

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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.