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Finding the Fourth Proportional to 120.15, 165.89 and 92.47

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Solution

The fourth proportional to 120.15, 165.89 and 92.47 is: 127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.15 : 165.89 = 92.47 : x
  2. Step 2: Convert to fraction form
    120.15/165.89 = 92.47/x
  3. Step 3: Cross multiply
    120.15x = 165.89 × 92.47
  4. Step 4: Simplify right side
    120.15x = 15,339.85
  5. Step 5: Solve for x
    x = 15,339.85/120.15
  6. Step 6: Final answer
    x = 127.67

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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.