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Finding the Fourth Proportional to 108.24, 162.42 and 54.12

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Solution

The fourth proportional to 108.24, 162.42 and 54.12 is: 81.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.24 : 162.42 = 54.12 : x
  2. Step 2: Convert to fraction form
    108.24/162.42 = 54.12/x
  3. Step 3: Cross multiply
    108.24x = 162.42 × 54.12
  4. Step 4: Simplify right side
    108.24x = 8,790.17
  5. Step 5: Solve for x
    x = 8,790.17/108.24
  6. Step 6: Final answer
    x = 81.21

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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.