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Finding the Fourth Proportional to 105.29, 157.96 and 105.29

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Solution

The fourth proportional to 105.29, 157.96 and 105.29 is: 157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.29 : 157.96 = 105.29 : x
  2. Step 2: Convert to fraction form
    105.29/157.96 = 105.29/x
  3. Step 3: Cross multiply
    105.29x = 157.96 × 105.29
  4. Step 4: Simplify right side
    105.29x = 16,630.80
  5. Step 5: Solve for x
    x = 16,630.80/105.29
  6. Step 6: Final answer
    x = 157.96

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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.