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Finding the Fourth Proportional to 30.23, 41.71 and 16.41

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Solution

The fourth proportional to 30.23, 41.71 and 16.41 is: 22.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.23 : 41.71 = 16.41 : x
  2. Step 2: Convert to fraction form
    30.23/41.71 = 16.41/x
  3. Step 3: Cross multiply
    30.23x = 41.71 × 16.41
  4. Step 4: Simplify right side
    30.23x = 684.48
  5. Step 5: Solve for x
    x = 684.48/30.23
  6. Step 6: Final answer
    x = 22.65

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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.