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Finding the Fourth Proportional to 110.68, 165.89 and 97.87

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Solution

The fourth proportional to 110.68, 165.89 and 97.87 is: 146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.68 : 165.89 = 97.87 : x
  2. Step 2: Convert to fraction form
    110.68/165.89 = 97.87/x
  3. Step 3: Cross multiply
    110.68x = 165.89 × 97.87
  4. Step 4: Simplify right side
    110.68x = 16,234.96
  5. Step 5: Solve for x
    x = 16,234.96/110.68
  6. Step 6: Final answer
    x = 146.68

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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.