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Finding the Fourth Proportional to 110.34, 165.75 and 74.34

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Solution

The fourth proportional to 110.34, 165.75 and 74.34 is: 111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.34 : 165.75 = 74.34 : x
  2. Step 2: Convert to fraction form
    110.34/165.75 = 74.34/x
  3. Step 3: Cross multiply
    110.34x = 165.75 × 74.34
  4. Step 4: Simplify right side
    110.34x = 12,321.86
  5. Step 5: Solve for x
    x = 12,321.86/110.34
  6. Step 6: Final answer
    x = 111.67

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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.