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Finding the Fourth Proportional to 110.13, 165.24 and 52.41

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Solution

The fourth proportional to 110.13, 165.24 and 52.41 is: 78.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.13 : 165.24 = 52.41 : x
  2. Step 2: Convert to fraction form
    110.13/165.24 = 52.41/x
  3. Step 3: Cross multiply
    110.13x = 165.24 × 52.41
  4. Step 4: Simplify right side
    110.13x = 8,660.85
  5. Step 5: Solve for x
    x = 8,660.85/110.13
  6. Step 6: Final answer
    x = 78.64

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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.