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Finding the Fourth Proportional to 105.22, 157.90 and 53.88

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Solution

The fourth proportional to 105.22, 157.90 and 53.88 is: 80.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.22 : 157.90 = 53.88 : x
  2. Step 2: Convert to fraction form
    105.22/157.90 = 53.88/x
  3. Step 3: Cross multiply
    105.22x = 157.90 × 53.88
  4. Step 4: Simplify right side
    105.22x = 8,507.65
  5. Step 5: Solve for x
    x = 8,507.65/105.22
  6. Step 6: Final answer
    x = 80.86

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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.