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Finding the Fourth Proportional to 108.53, 162.78 and 27.36

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Solution

The fourth proportional to 108.53, 162.78 and 27.36 is: 41.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.53 : 162.78 = 27.36 : x
  2. Step 2: Convert to fraction form
    108.53/162.78 = 27.36/x
  3. Step 3: Cross multiply
    108.53x = 162.78 × 27.36
  4. Step 4: Simplify right side
    108.53x = 4,453.66
  5. Step 5: Solve for x
    x = 4,453.66/108.53
  6. Step 6: Final answer
    x = 41.04

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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.