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Finding the Fourth Proportional to 133.88, 184.75 and 82.13

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Solution

The fourth proportional to 133.88, 184.75 and 82.13 is: 113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.88 : 184.75 = 82.13 : x
  2. Step 2: Convert to fraction form
    133.88/184.75 = 82.13/x
  3. Step 3: Cross multiply
    133.88x = 184.75 × 82.13
  4. Step 4: Simplify right side
    133.88x = 15,172.59
  5. Step 5: Solve for x
    x = 15,172.59/133.88
  6. Step 6: Final answer
    x = 113.33

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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.