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Finding the Fourth Proportional to 120.90, 166.76 and 77.20

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Solution

The fourth proportional to 120.90, 166.76 and 77.20 is: 106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.90 : 166.76 = 77.20 : x
  2. Step 2: Convert to fraction form
    120.90/166.76 = 77.20/x
  3. Step 3: Cross multiply
    120.90x = 166.76 × 77.20
  4. Step 4: Simplify right side
    120.90x = 12,873.87
  5. Step 5: Solve for x
    x = 12,873.87/120.90
  6. Step 6: Final answer
    x = 106.48

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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.