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Finding the Fourth Proportional to 70.42, 105.53 and 44.67

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Solution

The fourth proportional to 70.42, 105.53 and 44.67 is: 66.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.42 : 105.53 = 44.67 : x
  2. Step 2: Convert to fraction form
    70.42/105.53 = 44.67/x
  3. Step 3: Cross multiply
    70.42x = 105.53 × 44.67
  4. Step 4: Simplify right side
    70.42x = 4,713.80
  5. Step 5: Solve for x
    x = 4,713.80/70.42
  6. Step 6: Final answer
    x = 66.94

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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.