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Finding the Fourth Proportional to 84.22, 116.30 and 62.22

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Solution

The fourth proportional to 84.22, 116.30 and 62.22 is: 85.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.22 : 116.30 = 62.22 : x
  2. Step 2: Convert to fraction form
    84.22/116.30 = 62.22/x
  3. Step 3: Cross multiply
    84.22x = 116.30 × 62.22
  4. Step 4: Simplify right side
    84.22x = 7,236.19
  5. Step 5: Solve for x
    x = 7,236.19/84.22
  6. Step 6: Final answer
    x = 85.92

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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.