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Finding the Fourth Proportional to 108.14, 162.23 and 54.02

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Solution

The fourth proportional to 108.14, 162.23 and 54.02 is: 81.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.14 : 162.23 = 54.02 : x
  2. Step 2: Convert to fraction form
    108.14/162.23 = 54.02/x
  3. Step 3: Cross multiply
    108.14x = 162.23 × 54.02
  4. Step 4: Simplify right side
    108.14x = 8,763.80
  5. Step 5: Solve for x
    x = 8,763.80/108.14
  6. Step 6: Final answer
    x = 81.04

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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.