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Finding the Fourth Proportional to 84.25, 116.25 and 47.39

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Solution

The fourth proportional to 84.25, 116.25 and 47.39 is: 65.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.25 : 116.25 = 47.39 : x
  2. Step 2: Convert to fraction form
    84.25/116.25 = 47.39/x
  3. Step 3: Cross multiply
    84.25x = 116.25 × 47.39
  4. Step 4: Simplify right side
    84.25x = 5,509.09
  5. Step 5: Solve for x
    x = 5,509.09/84.25
  6. Step 6: Final answer
    x = 65.39

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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.