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Finding the Fourth Proportional to 105.67, 158.25 and 86.07

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Solution

The fourth proportional to 105.67, 158.25 and 86.07 is: 128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.67 : 158.25 = 86.07 : x
  2. Step 2: Convert to fraction form
    105.67/158.25 = 86.07/x
  3. Step 3: Cross multiply
    105.67x = 158.25 × 86.07
  4. Step 4: Simplify right side
    105.67x = 13,620.12
  5. Step 5: Solve for x
    x = 13,620.12/105.67
  6. Step 6: Final answer
    x = 128.89

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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.