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Finding the Fourth Proportional to 108.09, 161.85 and 56.55

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Solution

The fourth proportional to 108.09, 161.85 and 56.55 is: 84.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.09 : 161.85 = 56.55 : x
  2. Step 2: Convert to fraction form
    108.09/161.85 = 56.55/x
  3. Step 3: Cross multiply
    108.09x = 161.85 × 56.55
  4. Step 4: Simplify right side
    108.09x = 9,152.62
  5. Step 5: Solve for x
    x = 9,152.62/108.09
  6. Step 6: Final answer
    x = 84.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.