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Finding the Fourth Proportional to 133.89, 184.80 and 84.84

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Solution

The fourth proportional to 133.89, 184.80 and 84.84 is: 117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.89 : 184.80 = 84.84 : x
  2. Step 2: Convert to fraction form
    133.89/184.80 = 84.84/x
  3. Step 3: Cross multiply
    133.89x = 184.80 × 84.84
  4. Step 4: Simplify right side
    133.89x = 15,678.43
  5. Step 5: Solve for x
    x = 15,678.43/133.89
  6. Step 6: Final answer
    x = 117.10

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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.