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Finding the Fourth Proportional to 133.83, 184.72 and 87.12

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Solution

The fourth proportional to 133.83, 184.72 and 87.12 is: 120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.83 : 184.72 = 87.12 : x
  2. Step 2: Convert to fraction form
    133.83/184.72 = 87.12/x
  3. Step 3: Cross multiply
    133.83x = 184.72 × 87.12
  4. Step 4: Simplify right side
    133.83x = 16,092.22
  5. Step 5: Solve for x
    x = 16,092.22/133.83
  6. Step 6: Final answer
    x = 120.25

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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.