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Finding the Fourth Proportional to 41.61, 62.47 and 30.25

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Solution

The fourth proportional to 41.61, 62.47 and 30.25 is: 45.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.61 : 62.47 = 30.25 : x
  2. Step 2: Convert to fraction form
    41.61/62.47 = 30.25/x
  3. Step 3: Cross multiply
    41.61x = 62.47 × 30.25
  4. Step 4: Simplify right side
    41.61x = 1,889.66
  5. Step 5: Solve for x
    x = 1,889.66/41.61
  6. Step 6: Final answer
    x = 45.41

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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.