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Finding the Fourth Proportional to 74.74, 111.83 and 70.62

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Solution

The fourth proportional to 74.74, 111.83 and 70.62 is: 105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.74 : 111.83 = 70.62 : x
  2. Step 2: Convert to fraction form
    74.74/111.83 = 70.62/x
  3. Step 3: Cross multiply
    74.74x = 111.83 × 70.62
  4. Step 4: Simplify right side
    74.74x = 7,897.49
  5. Step 5: Solve for x
    x = 7,897.49/74.74
  6. Step 6: Final answer
    x = 105.67

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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.