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Finding the Fourth Proportional to 108.24, 162.24 and 54.06

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Solution

The fourth proportional to 108.24, 162.24 and 54.06 is: 81.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.24 : 162.24 = 54.06 : x
  2. Step 2: Convert to fraction form
    108.24/162.24 = 54.06/x
  3. Step 3: Cross multiply
    108.24x = 162.24 × 54.06
  4. Step 4: Simplify right side
    108.24x = 8,770.69
  5. Step 5: Solve for x
    x = 8,770.69/108.24
  6. Step 6: Final answer
    x = 81.03

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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.