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Finding the Fourth Proportional to 84.82, 116.85 and 70.24

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Solution

The fourth proportional to 84.82, 116.85 and 70.24 is: 96.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.82 : 116.85 = 70.24 : x
  2. Step 2: Convert to fraction form
    84.82/116.85 = 70.24/x
  3. Step 3: Cross multiply
    84.82x = 116.85 × 70.24
  4. Step 4: Simplify right side
    84.82x = 8,207.54
  5. Step 5: Solve for x
    x = 8,207.54/84.82
  6. Step 6: Final answer
    x = 96.76

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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.