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Finding the Fourth Proportional to 181.96, 272.86 and 90.64

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Solution

The fourth proportional to 181.96, 272.86 and 90.64 is: 135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.96 : 272.86 = 90.64 : x
  2. Step 2: Convert to fraction form
    181.96/272.86 = 90.64/x
  3. Step 3: Cross multiply
    181.96x = 272.86 × 90.64
  4. Step 4: Simplify right side
    181.96x = 24,732.03
  5. Step 5: Solve for x
    x = 24,732.03/181.96
  6. Step 6: Final answer
    x = 135.92

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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.