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Finding the Fourth Proportional to 108.88, 149.26 and 106.92

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Solution

The fourth proportional to 108.88, 149.26 and 106.92 is: 146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.88 : 149.26 = 106.92 : x
  2. Step 2: Convert to fraction form
    108.88/149.26 = 106.92/x
  3. Step 3: Cross multiply
    108.88x = 149.26 × 106.92
  4. Step 4: Simplify right side
    108.88x = 15,958.88
  5. Step 5: Solve for x
    x = 15,958.88/108.88
  6. Step 6: Final answer
    x = 146.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.