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Finding the Fourth Proportional to 133.52, 184.12 and 86.84

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Solution

The fourth proportional to 133.52, 184.12 and 86.84 is: 119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.52 : 184.12 = 86.84 : x
  2. Step 2: Convert to fraction form
    133.52/184.12 = 86.84/x
  3. Step 3: Cross multiply
    133.52x = 184.12 × 86.84
  4. Step 4: Simplify right side
    133.52x = 15,988.98
  5. Step 5: Solve for x
    x = 15,988.98/133.52
  6. Step 6: Final answer
    x = 119.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.