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Finding the Fourth Proportional to 108.30, 149.44 and 75.63

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Solution

The fourth proportional to 108.30, 149.44 and 75.63 is: 104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.30 : 149.44 = 75.63 : x
  2. Step 2: Convert to fraction form
    108.30/149.44 = 75.63/x
  3. Step 3: Cross multiply
    108.30x = 149.44 × 75.63
  4. Step 4: Simplify right side
    108.30x = 11,302.15
  5. Step 5: Solve for x
    x = 11,302.15/108.30
  6. Step 6: Final answer
    x = 104.36

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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.