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Finding the Fourth Proportional to 181.58, 272.32 and 71.92

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Solution

The fourth proportional to 181.58, 272.32 and 71.92 is: 107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.58 : 272.32 = 71.92 : x
  2. Step 2: Convert to fraction form
    181.58/272.32 = 71.92/x
  3. Step 3: Cross multiply
    181.58x = 272.32 × 71.92
  4. Step 4: Simplify right side
    181.58x = 19,585.25
  5. Step 5: Solve for x
    x = 19,585.25/181.58
  6. Step 6: Final answer
    x = 107.86

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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.