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Finding the Fourth Proportional to 119.34, 178.99 and 32.68

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Solution

The fourth proportional to 119.34, 178.99 and 32.68 is: 49.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.34 : 178.99 = 32.68 : x
  2. Step 2: Convert to fraction form
    119.34/178.99 = 32.68/x
  3. Step 3: Cross multiply
    119.34x = 178.99 × 32.68
  4. Step 4: Simplify right side
    119.34x = 5,848.86
  5. Step 5: Solve for x
    x = 5,848.86/119.34
  6. Step 6: Final answer
    x = 49.01

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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.