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Finding the Fourth Proportional to 116.24, 160.32 and 86.72

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Solution

The fourth proportional to 116.24, 160.32 and 86.72 is: 119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.24 : 160.32 = 86.72 : x
  2. Step 2: Convert to fraction form
    116.24/160.32 = 86.72/x
  3. Step 3: Cross multiply
    116.24x = 160.32 × 86.72
  4. Step 4: Simplify right side
    116.24x = 13,902.95
  5. Step 5: Solve for x
    x = 13,902.95/116.24
  6. Step 6: Final answer
    x = 119.61

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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.