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Finding the Fourth Proportional to 110.50, 165.49 and 78.03

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Solution

The fourth proportional to 110.50, 165.49 and 78.03 is: 116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.50 : 165.49 = 78.03 : x
  2. Step 2: Convert to fraction form
    110.50/165.49 = 78.03/x
  3. Step 3: Cross multiply
    110.50x = 165.49 × 78.03
  4. Step 4: Simplify right side
    110.50x = 12,912.99
  5. Step 5: Solve for x
    x = 12,912.99/110.50
  6. Step 6: Final answer
    x = 116.86

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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.