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Finding the Fourth Proportional to 133.94, 184.91 and 84.84

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Solution

The fourth proportional to 133.94, 184.91 and 84.84 is: 117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.94 : 184.91 = 84.84 : x
  2. Step 2: Convert to fraction form
    133.94/184.91 = 84.84/x
  3. Step 3: Cross multiply
    133.94x = 184.91 × 84.84
  4. Step 4: Simplify right side
    133.94x = 15,687.76
  5. Step 5: Solve for x
    x = 15,687.76/133.94
  6. Step 6: Final answer
    x = 117.13

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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.