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Finding the Fourth Proportional to 108.37, 162.54 and 54.24

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Solution

The fourth proportional to 108.37, 162.54 and 54.24 is: 81.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.37 : 162.54 = 54.24 : x
  2. Step 2: Convert to fraction form
    108.37/162.54 = 54.24/x
  3. Step 3: Cross multiply
    108.37x = 162.54 × 54.24
  4. Step 4: Simplify right side
    108.37x = 8,815.56
  5. Step 5: Solve for x
    x = 8,815.56/108.37
  6. Step 6: Final answer
    x = 81.35

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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.