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Finding the Fourth Proportional to 133.28, 183.91 and 84.07

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Solution

The fourth proportional to 133.28, 183.91 and 84.07 is: 116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.28 : 183.91 = 84.07 : x
  2. Step 2: Convert to fraction form
    133.28/183.91 = 84.07/x
  3. Step 3: Cross multiply
    133.28x = 183.91 × 84.07
  4. Step 4: Simplify right side
    133.28x = 15,461.31
  5. Step 5: Solve for x
    x = 15,461.31/133.28
  6. Step 6: Final answer
    x = 116.01

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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.