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Finding the Fourth Proportional to 105.29, 157.97 and 57.19

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Solution

The fourth proportional to 105.29, 157.97 and 57.19 is: 85.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.29 : 157.97 = 57.19 : x
  2. Step 2: Convert to fraction form
    105.29/157.97 = 57.19/x
  3. Step 3: Cross multiply
    105.29x = 157.97 × 57.19
  4. Step 4: Simplify right side
    105.29x = 9,034.05
  5. Step 5: Solve for x
    x = 9,034.05/105.29
  6. Step 6: Final answer
    x = 85.81

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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.