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Finding the Fourth Proportional to 133.57, 184.29 and 84.41

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Solution

The fourth proportional to 133.57, 184.29 and 84.41 is: 116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.57 : 184.29 = 84.41 : x
  2. Step 2: Convert to fraction form
    133.57/184.29 = 84.41/x
  3. Step 3: Cross multiply
    133.57x = 184.29 × 84.41
  4. Step 4: Simplify right side
    133.57x = 15,555.92
  5. Step 5: Solve for x
    x = 15,555.92/133.57
  6. Step 6: Final answer
    x = 116.46

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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.