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Finding the Fourth Proportional to 133.80, 185.13 and 116.59

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Solution

The fourth proportional to 133.80, 185.13 and 116.59 is: 161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.80 : 185.13 = 116.59 : x
  2. Step 2: Convert to fraction form
    133.80/185.13 = 116.59/x
  3. Step 3: Cross multiply
    133.80x = 185.13 × 116.59
  4. Step 4: Simplify right side
    133.80x = 21,584.31
  5. Step 5: Solve for x
    x = 21,584.31/133.80
  6. Step 6: Final answer
    x = 161.32

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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.