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Finding the Fourth Proportional to 1.54, 2.30 and 0.41

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Solution

The fourth proportional to 1.54, 2.30 and 0.41 is: 0.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.54 : 2.30 = 0.41 : x
  2. Step 2: Convert to fraction form
    1.54/2.30 = 0.41/x
  3. Step 3: Cross multiply
    1.54x = 2.30 × 0.41
  4. Step 4: Simplify right side
    1.54x = 0.94
  5. Step 5: Solve for x
    x = 0.94/1.54
  6. Step 6: Final answer
    x = 0.61

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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.