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Finding the Fourth Proportional to 108.53, 161.71 and 104.60

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Solution

The fourth proportional to 108.53, 161.71 and 104.60 is: 155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.53 : 161.71 = 104.60 : x
  2. Step 2: Convert to fraction form
    108.53/161.71 = 104.60/x
  3. Step 3: Cross multiply
    108.53x = 161.71 × 104.60
  4. Step 4: Simplify right side
    108.53x = 16,914.87
  5. Step 5: Solve for x
    x = 16,914.87/108.53
  6. Step 6: Final answer
    x = 155.85

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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.