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Finding the Fourth Proportional to 41.75, 62.61 and 16.07

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Solution

The fourth proportional to 41.75, 62.61 and 16.07 is: 24.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.75 : 62.61 = 16.07 : x
  2. Step 2: Convert to fraction form
    41.75/62.61 = 16.07/x
  3. Step 3: Cross multiply
    41.75x = 62.61 × 16.07
  4. Step 4: Simplify right side
    41.75x = 1,006.14
  5. Step 5: Solve for x
    x = 1,006.14/41.75
  6. Step 6: Final answer
    x = 24.10

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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.