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Finding the Fourth Proportional to 84.22, 115.97 and 71.91

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Solution

The fourth proportional to 84.22, 115.97 and 71.91 is: 99.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.22 : 115.97 = 71.91 : x
  2. Step 2: Convert to fraction form
    84.22/115.97 = 71.91/x
  3. Step 3: Cross multiply
    84.22x = 115.97 × 71.91
  4. Step 4: Simplify right side
    84.22x = 8,339.04
  5. Step 5: Solve for x
    x = 8,339.04/84.22
  6. Step 6: Final answer
    x = 99.02

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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.