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Finding the Fourth Proportional to 84.11, 116.09 and 51.35

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Solution

The fourth proportional to 84.11, 116.09 and 51.35 is: 70.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.11 : 116.09 = 51.35 : x
  2. Step 2: Convert to fraction form
    84.11/116.09 = 51.35/x
  3. Step 3: Cross multiply
    84.11x = 116.09 × 51.35
  4. Step 4: Simplify right side
    84.11x = 5,960.38
  5. Step 5: Solve for x
    x = 5,960.38/84.11
  6. Step 6: Final answer
    x = 70.87

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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.