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Finding the Fourth Proportional to 133.89, 184.65 and 87.22

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Solution

The fourth proportional to 133.89, 184.65 and 87.22 is: 120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.89 : 184.65 = 87.22 : x
  2. Step 2: Convert to fraction form
    133.89/184.65 = 87.22/x
  3. Step 3: Cross multiply
    133.89x = 184.65 × 87.22
  4. Step 4: Simplify right side
    133.89x = 16,105.17
  5. Step 5: Solve for x
    x = 16,105.17/133.89
  6. Step 6: Final answer
    x = 120.29

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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.