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Finding the Fourth Proportional to 84.73, 116.44 and 70.89

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Solution

The fourth proportional to 84.73, 116.44 and 70.89 is: 97.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.73 : 116.44 = 70.89 : x
  2. Step 2: Convert to fraction form
    84.73/116.44 = 70.89/x
  3. Step 3: Cross multiply
    84.73x = 116.44 × 70.89
  4. Step 4: Simplify right side
    84.73x = 8,254.43
  5. Step 5: Solve for x
    x = 8,254.43/84.73
  6. Step 6: Final answer
    x = 97.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.