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Finding the Fourth Proportional to 108.42, 161.84 and 94.75

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Solution

The fourth proportional to 108.42, 161.84 and 94.75 is: 141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.42 : 161.84 = 94.75 : x
  2. Step 2: Convert to fraction form
    108.42/161.84 = 94.75/x
  3. Step 3: Cross multiply
    108.42x = 161.84 × 94.75
  4. Step 4: Simplify right side
    108.42x = 15,334.34
  5. Step 5: Solve for x
    x = 15,334.34/108.42
  6. Step 6: Final answer
    x = 141.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.