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Finding the Fourth Proportional to 181.87, 272.84 and 90.63

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Solution

The fourth proportional to 181.87, 272.84 and 90.63 is: 135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.87 : 272.84 = 90.63 : x
  2. Step 2: Convert to fraction form
    181.87/272.84 = 90.63/x
  3. Step 3: Cross multiply
    181.87x = 272.84 × 90.63
  4. Step 4: Simplify right side
    181.87x = 24,727.49
  5. Step 5: Solve for x
    x = 24,727.49/181.87
  6. Step 6: Final answer
    x = 135.96

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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.