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Finding the Fourth Proportional to 110.29, 165.07 and 75.91

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Solution

The fourth proportional to 110.29, 165.07 and 75.91 is: 113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.29 : 165.07 = 75.91 : x
  2. Step 2: Convert to fraction form
    110.29/165.07 = 75.91/x
  3. Step 3: Cross multiply
    110.29x = 165.07 × 75.91
  4. Step 4: Simplify right side
    110.29x = 12,530.46
  5. Step 5: Solve for x
    x = 12,530.46/110.29
  6. Step 6: Final answer
    x = 113.61

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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.