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Finding the Fourth Proportional to 133.65, 184.41 and 84.54

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Solution

The fourth proportional to 133.65, 184.41 and 84.54 is: 116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.65 : 184.41 = 84.54 : x
  2. Step 2: Convert to fraction form
    133.65/184.41 = 84.54/x
  3. Step 3: Cross multiply
    133.65x = 184.41 × 84.54
  4. Step 4: Simplify right side
    133.65x = 15,590.02
  5. Step 5: Solve for x
    x = 15,590.02/133.65
  6. Step 6: Final answer
    x = 116.65

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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.