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Finding the Fourth Proportional to 110.67, 165.97 and 52.92

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Solution

The fourth proportional to 110.67, 165.97 and 52.92 is: 79.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.67 : 165.97 = 52.92 : x
  2. Step 2: Convert to fraction form
    110.67/165.97 = 52.92/x
  3. Step 3: Cross multiply
    110.67x = 165.97 × 52.92
  4. Step 4: Simplify right side
    110.67x = 8,783.13
  5. Step 5: Solve for x
    x = 8,783.13/110.67
  6. Step 6: Final answer
    x = 79.36

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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.