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Finding the Fourth Proportional to 84.39, 116.42 and 51.19

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Solution

The fourth proportional to 84.39, 116.42 and 51.19 is: 70.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.39 : 116.42 = 51.19 : x
  2. Step 2: Convert to fraction form
    84.39/116.42 = 51.19/x
  3. Step 3: Cross multiply
    84.39x = 116.42 × 51.19
  4. Step 4: Simplify right side
    84.39x = 5,958.96
  5. Step 5: Solve for x
    x = 5,958.96/84.39
  6. Step 6: Final answer
    x = 70.61

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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.