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Finding the Fourth Proportional to 105.10, 158.22 and 95.67

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Solution

The fourth proportional to 105.10, 158.22 and 95.67 is: 144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.10 : 158.22 = 95.67 : x
  2. Step 2: Convert to fraction form
    105.10/158.22 = 95.67/x
  3. Step 3: Cross multiply
    105.10x = 158.22 × 95.67
  4. Step 4: Simplify right side
    105.10x = 15,136.91
  5. Step 5: Solve for x
    x = 15,136.91/105.10
  6. Step 6: Final answer
    x = 144.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.