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Finding the Fourth Proportional to 62.69, 94.14 and 41.06

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Solution

The fourth proportional to 62.69, 94.14 and 41.06 is: 61.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.69 : 94.14 = 41.06 : x
  2. Step 2: Convert to fraction form
    62.69/94.14 = 41.06/x
  3. Step 3: Cross multiply
    62.69x = 94.14 × 41.06
  4. Step 4: Simplify right side
    62.69x = 3,865.62
  5. Step 5: Solve for x
    x = 3,865.62/62.69
  6. Step 6: Final answer
    x = 61.67

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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.