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Finding the Fourth Proportional to 105.72, 145.72 and 86.97

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Solution

The fourth proportional to 105.72, 145.72 and 86.97 is: 119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.72 : 145.72 = 86.97 : x
  2. Step 2: Convert to fraction form
    105.72/145.72 = 86.97/x
  3. Step 3: Cross multiply
    105.72x = 145.72 × 86.97
  4. Step 4: Simplify right side
    105.72x = 12,673.27
  5. Step 5: Solve for x
    x = 12,673.27/105.72
  6. Step 6: Final answer
    x = 119.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.