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Finding the Fourth Proportional to 111.96, 167.64 and 86.32

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Solution

The fourth proportional to 111.96, 167.64 and 86.32 is: 129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.96 : 167.64 = 86.32 : x
  2. Step 2: Convert to fraction form
    111.96/167.64 = 86.32/x
  3. Step 3: Cross multiply
    111.96x = 167.64 × 86.32
  4. Step 4: Simplify right side
    111.96x = 14,470.68
  5. Step 5: Solve for x
    x = 14,470.68/111.96
  6. Step 6: Final answer
    x = 129.25

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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.