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Finding the Fourth Proportional to 75.65, 113.42 and 41.41

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Solution

The fourth proportional to 75.65, 113.42 and 41.41 is: 62.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.65 : 113.42 = 41.41 : x
  2. Step 2: Convert to fraction form
    75.65/113.42 = 41.41/x
  3. Step 3: Cross multiply
    75.65x = 113.42 × 41.41
  4. Step 4: Simplify right side
    75.65x = 4,696.73
  5. Step 5: Solve for x
    x = 4,696.73/75.65
  6. Step 6: Final answer
    x = 62.08

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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.