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Finding the Fourth Proportional to 133.81, 184.62 and 84.74

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Solution

The fourth proportional to 133.81, 184.62 and 84.74 is: 116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.81 : 184.62 = 84.74 : x
  2. Step 2: Convert to fraction form
    133.81/184.62 = 84.74/x
  3. Step 3: Cross multiply
    133.81x = 184.62 × 84.74
  4. Step 4: Simplify right side
    133.81x = 15,644.70
  5. Step 5: Solve for x
    x = 15,644.70/133.81
  6. Step 6: Final answer
    x = 116.92

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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.