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Finding the Fourth Proportional to 108.57, 162.95 and 85.85

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Solution

The fourth proportional to 108.57, 162.95 and 85.85 is: 128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.57 : 162.95 = 85.85 : x
  2. Step 2: Convert to fraction form
    108.57/162.95 = 85.85/x
  3. Step 3: Cross multiply
    108.57x = 162.95 × 85.85
  4. Step 4: Simplify right side
    108.57x = 13,988.01
  5. Step 5: Solve for x
    x = 13,988.01/108.57
  6. Step 6: Final answer
    x = 128.84

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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.