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Finding the Fourth Proportional to 84.25, 116.33 and 53.19

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Solution

The fourth proportional to 84.25, 116.33 and 53.19 is: 73.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.25 : 116.33 = 53.19 : x
  2. Step 2: Convert to fraction form
    84.25/116.33 = 53.19/x
  3. Step 3: Cross multiply
    84.25x = 116.33 × 53.19
  4. Step 4: Simplify right side
    84.25x = 6,187.33
  5. Step 5: Solve for x
    x = 6,187.33/84.25
  6. Step 6: Final answer
    x = 73.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.