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Finding the Fourth Proportional to 108.29, 162.36 and 85.43

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Solution

The fourth proportional to 108.29, 162.36 and 85.43 is: 128.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.29 : 162.36 = 85.43 : x
  2. Step 2: Convert to fraction form
    108.29/162.36 = 85.43/x
  3. Step 3: Cross multiply
    108.29x = 162.36 × 85.43
  4. Step 4: Simplify right side
    108.29x = 13,869.60
  5. Step 5: Solve for x
    x = 13,869.60/108.29
  6. Step 6: Final answer
    x = 128.08

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Why These Related Problems?

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