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Finding the Fourth Proportional to 133.81, 184.68 and 84.67

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Solution

The fourth proportional to 133.81, 184.68 and 84.67 is: 116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.81 : 184.68 = 84.67 : x
  2. Step 2: Convert to fraction form
    133.81/184.68 = 84.67/x
  3. Step 3: Cross multiply
    133.81x = 184.68 × 84.67
  4. Step 4: Simplify right side
    133.81x = 15,636.86
  5. Step 5: Solve for x
    x = 15,636.86/133.81
  6. Step 6: Final answer
    x = 116.86

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Why These Related Problems?

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