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Finding the Fourth Proportional to 110.24, 165.32 and 41.78

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Solution

The fourth proportional to 110.24, 165.32 and 41.78 is: 62.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.24 : 165.32 = 41.78 : x
  2. Step 2: Convert to fraction form
    110.24/165.32 = 41.78/x
  3. Step 3: Cross multiply
    110.24x = 165.32 × 41.78
  4. Step 4: Simplify right side
    110.24x = 6,907.43
  5. Step 5: Solve for x
    x = 6,907.43/110.24
  6. Step 6: Final answer
    x = 62.66

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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.