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Finding the Fourth Proportional to 110.82, 165.58 and 76.29

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Solution

The fourth proportional to 110.82, 165.58 and 76.29 is: 113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.82 : 165.58 = 76.29 : x
  2. Step 2: Convert to fraction form
    110.82/165.58 = 76.29/x
  3. Step 3: Cross multiply
    110.82x = 165.58 × 76.29
  4. Step 4: Simplify right side
    110.82x = 12,632.10
  5. Step 5: Solve for x
    x = 12,632.10/110.82
  6. Step 6: Final answer
    x = 113.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.