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Finding the Fourth Proportional to 165.89, 229.12 and 110.54

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Solution

The fourth proportional to 165.89, 229.12 and 110.54 is: 152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.89 : 229.12 = 110.54 : x
  2. Step 2: Convert to fraction form
    165.89/229.12 = 110.54/x
  3. Step 3: Cross multiply
    165.89x = 229.12 × 110.54
  4. Step 4: Simplify right side
    165.89x = 25,325.78
  5. Step 5: Solve for x
    x = 25,325.78/165.89
  6. Step 6: Final answer
    x = 152.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.