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Finding the Fourth Proportional to 84.26, 116.22 and 53.18

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Solution

The fourth proportional to 84.26, 116.22 and 53.18 is: 73.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.26 : 116.22 = 53.18 : x
  2. Step 2: Convert to fraction form
    84.26/116.22 = 53.18/x
  3. Step 3: Cross multiply
    84.26x = 116.22 × 53.18
  4. Step 4: Simplify right side
    84.26x = 6,180.58
  5. Step 5: Solve for x
    x = 6,180.58/84.26
  6. Step 6: Final answer
    x = 73.35

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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.