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Finding the Fourth Proportional to 108.29, 149.31 and 75.49

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Solution

The fourth proportional to 108.29, 149.31 and 75.49 is: 104.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.29 : 149.31 = 75.49 : x
  2. Step 2: Convert to fraction form
    108.29/149.31 = 75.49/x
  3. Step 3: Cross multiply
    108.29x = 149.31 × 75.49
  4. Step 4: Simplify right side
    108.29x = 11,271.04
  5. Step 5: Solve for x
    x = 11,271.04/108.29
  6. Step 6: Final answer
    x = 104.08

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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.