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Finding the Fourth Proportional to 110.29, 165.40 and 41.80

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Solution

The fourth proportional to 110.29, 165.40 and 41.80 is: 62.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.29 : 165.40 = 41.80 : x
  2. Step 2: Convert to fraction form
    110.29/165.40 = 41.80/x
  3. Step 3: Cross multiply
    110.29x = 165.40 × 41.80
  4. Step 4: Simplify right side
    110.29x = 6,913.72
  5. Step 5: Solve for x
    x = 6,913.72/110.29
  6. Step 6: Final answer
    x = 62.69

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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.