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Finding the Fourth Proportional to 84.12, 116.10 and 54.65

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Solution

The fourth proportional to 84.12, 116.10 and 54.65 is: 75.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.12 : 116.10 = 54.65 : x
  2. Step 2: Convert to fraction form
    84.12/116.10 = 54.65/x
  3. Step 3: Cross multiply
    84.12x = 116.10 × 54.65
  4. Step 4: Simplify right side
    84.12x = 6,344.01
  5. Step 5: Solve for x
    x = 6,344.01/84.12
  6. Step 6: Final answer
    x = 75.42

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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.