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Finding the Fourth Proportional to 108.22, 149.28 and 81.91

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Solution

The fourth proportional to 108.22, 149.28 and 81.91 is: 112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.22 : 149.28 = 81.91 : x
  2. Step 2: Convert to fraction form
    108.22/149.28 = 81.91/x
  3. Step 3: Cross multiply
    108.22x = 149.28 × 81.91
  4. Step 4: Simplify right side
    108.22x = 12,227.52
  5. Step 5: Solve for x
    x = 12,227.52/108.22
  6. Step 6: Final answer
    x = 112.99

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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.