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Finding the Fourth Proportional to 105.79, 158.70 and 51.67

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Solution

The fourth proportional to 105.79, 158.70 and 51.67 is: 77.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.79 : 158.70 = 51.67 : x
  2. Step 2: Convert to fraction form
    105.79/158.70 = 51.67/x
  3. Step 3: Cross multiply
    105.79x = 158.70 × 51.67
  4. Step 4: Simplify right side
    105.79x = 8,200.03
  5. Step 5: Solve for x
    x = 8,200.03/105.79
  6. Step 6: Final answer
    x = 77.51

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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.