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Finding the Fourth Proportional to 74.86, 103.38 and 49

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Solution

The fourth proportional to 74.86, 103.38 and 49 is: 67.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.86 : 103.38 = 49 : x
  2. Step 2: Convert to fraction form
    74.86/103.38 = 49/x
  3. Step 3: Cross multiply
    74.86x = 103.38 × 49
  4. Step 4: Simplify right side
    74.86x = 5,065.62
  5. Step 5: Solve for x
    x = 5,065.62/74.86
  6. Step 6: Final answer
    x = 67.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.