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Finding the Fourth Proportional to 181.47, 272.07 and 71.78

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Solution

The fourth proportional to 181.47, 272.07 and 71.78 is: 107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.47 : 272.07 = 71.78 : x
  2. Step 2: Convert to fraction form
    181.47/272.07 = 71.78/x
  3. Step 3: Cross multiply
    181.47x = 272.07 × 71.78
  4. Step 4: Simplify right side
    181.47x = 19,529.18
  5. Step 5: Solve for x
    x = 19,529.18/181.47
  6. Step 6: Final answer
    x = 107.62

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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.