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Finding the Fourth Proportional to 108.34, 162.44 and 54.24

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Solution

The fourth proportional to 108.34, 162.44 and 54.24 is: 81.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.34 : 162.44 = 54.24 : x
  2. Step 2: Convert to fraction form
    108.34/162.44 = 54.24/x
  3. Step 3: Cross multiply
    108.34x = 162.44 × 54.24
  4. Step 4: Simplify right side
    108.34x = 8,810.75
  5. Step 5: Solve for x
    x = 8,810.75/108.34
  6. Step 6: Final answer
    x = 81.32

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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.