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Finding the Fourth Proportional to 52.23, 72.09 and 30.41

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Solution

The fourth proportional to 52.23, 72.09 and 30.41 is: 41.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.23 : 72.09 = 30.41 : x
  2. Step 2: Convert to fraction form
    52.23/72.09 = 30.41/x
  3. Step 3: Cross multiply
    52.23x = 72.09 × 30.41
  4. Step 4: Simplify right side
    52.23x = 2,191.90
  5. Step 5: Solve for x
    x = 2,191.90/52.23
  6. Step 6: Final answer
    x = 41.97

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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.