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Finding the Fourth Proportional to 84.71, 116.79 and 69.90

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Solution

The fourth proportional to 84.71, 116.79 and 69.90 is: 96.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.71 : 116.79 = 69.90 : x
  2. Step 2: Convert to fraction form
    84.71/116.79 = 69.90/x
  3. Step 3: Cross multiply
    84.71x = 116.79 × 69.90
  4. Step 4: Simplify right side
    84.71x = 8,163.27
  5. Step 5: Solve for x
    x = 8,163.27/84.71
  6. Step 6: Final answer
    x = 96.37

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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.