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Finding the Fourth Proportional to 105.09, 157.33 and 85.79

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Solution

The fourth proportional to 105.09, 157.33 and 85.79 is: 128.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.09 : 157.33 = 85.79 : x
  2. Step 2: Convert to fraction form
    105.09/157.33 = 85.79/x
  3. Step 3: Cross multiply
    105.09x = 157.33 × 85.79
  4. Step 4: Simplify right side
    105.09x = 13,497.34
  5. Step 5: Solve for x
    x = 13,497.34/105.09
  6. Step 6: Final answer
    x = 128.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.