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Finding the Fourth Proportional to 0.82, 1.23 and 0.38

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Solution

The fourth proportional to 0.82, 1.23 and 0.38 is: 0.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.82 : 1.23 = 0.38 : x
  2. Step 2: Convert to fraction form
    0.82/1.23 = 0.38/x
  3. Step 3: Cross multiply
    0.82x = 1.23 × 0.38
  4. Step 4: Simplify right side
    0.82x = 0.46
  5. Step 5: Solve for x
    x = 0.46/0.82
  6. Step 6: Final answer
    x = 0.56

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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.