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Finding the Fourth Proportional to 105.29, 157.96 and 36.84

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Solution

The fourth proportional to 105.29, 157.96 and 36.84 is: 55.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.29 : 157.96 = 36.84 : x
  2. Step 2: Convert to fraction form
    105.29/157.96 = 36.84/x
  3. Step 3: Cross multiply
    105.29x = 157.96 × 36.84
  4. Step 4: Simplify right side
    105.29x = 5,819.25
  5. Step 5: Solve for x
    x = 5,819.25/105.29
  6. Step 6: Final answer
    x = 55.27

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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.