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Finding the Fourth Proportional to 105, 157.46 and 53.67

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Solution

The fourth proportional to 105, 157.46 and 53.67 is: 80.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105 : 157.46 = 53.67 : x
  2. Step 2: Convert to fraction form
    105/157.46 = 53.67/x
  3. Step 3: Cross multiply
    105x = 157.46 × 53.67
  4. Step 4: Simplify right side
    105x = 8,450.88
  5. Step 5: Solve for x
    x = 8,450.88/105
  6. Step 6: Final answer
    x = 80.48

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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.