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Finding the Fourth Proportional to 108.70, 149.97 and 75.94

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Solution

The fourth proportional to 108.70, 149.97 and 75.94 is: 104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.70 : 149.97 = 75.94 : x
  2. Step 2: Convert to fraction form
    108.70/149.97 = 75.94/x
  3. Step 3: Cross multiply
    108.70x = 149.97 × 75.94
  4. Step 4: Simplify right side
    108.70x = 11,388.72
  5. Step 5: Solve for x
    x = 11,388.72/108.70
  6. Step 6: Final answer
    x = 104.77

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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.