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Finding the Fourth Proportional to 62.12, 92.82 and 49.97

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Solution

The fourth proportional to 62.12, 92.82 and 49.97 is: 74.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.12 : 92.82 = 49.97 : x
  2. Step 2: Convert to fraction form
    62.12/92.82 = 49.97/x
  3. Step 3: Cross multiply
    62.12x = 92.82 × 49.97
  4. Step 4: Simplify right side
    62.12x = 4,638.63
  5. Step 5: Solve for x
    x = 4,638.63/62.12
  6. Step 6: Final answer
    x = 74.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.