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Finding the Fourth Proportional to 108.22, 149.31 and 77.21

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Solution

The fourth proportional to 108.22, 149.31 and 77.21 is: 106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.22 : 149.31 = 77.21 : x
  2. Step 2: Convert to fraction form
    108.22/149.31 = 77.21/x
  3. Step 3: Cross multiply
    108.22x = 149.31 × 77.21
  4. Step 4: Simplify right side
    108.22x = 11,528.23
  5. Step 5: Solve for x
    x = 11,528.23/108.22
  6. Step 6: Final answer
    x = 106.53

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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.