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Finding the Fourth Proportional to 133.34, 183.90 and 84.23

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Solution

The fourth proportional to 133.34, 183.90 and 84.23 is: 116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.34 : 183.90 = 84.23 : x
  2. Step 2: Convert to fraction form
    133.34/183.90 = 84.23/x
  3. Step 3: Cross multiply
    133.34x = 183.90 × 84.23
  4. Step 4: Simplify right side
    133.34x = 15,489.90
  5. Step 5: Solve for x
    x = 15,489.90/133.34
  6. Step 6: Final answer
    x = 116.17

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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.