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Finding the Fourth Proportional to 108.08, 149.22 and 74.94

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Solution

The fourth proportional to 108.08, 149.22 and 74.94 is: 103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.08 : 149.22 = 74.94 : x
  2. Step 2: Convert to fraction form
    108.08/149.22 = 74.94/x
  3. Step 3: Cross multiply
    108.08x = 149.22 × 74.94
  4. Step 4: Simplify right side
    108.08x = 11,181.99
  5. Step 5: Solve for x
    x = 11,181.99/108.08
  6. Step 6: Final answer
    x = 103.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.