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Finding the Fourth Proportional to 120.79, 166.66 and 77.05

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Solution

The fourth proportional to 120.79, 166.66 and 77.05 is: 106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.79 : 166.66 = 77.05 : x
  2. Step 2: Convert to fraction form
    120.79/166.66 = 77.05/x
  3. Step 3: Cross multiply
    120.79x = 166.66 × 77.05
  4. Step 4: Simplify right side
    120.79x = 12,841.15
  5. Step 5: Solve for x
    x = 12,841.15/120.79
  6. Step 6: Final answer
    x = 106.31

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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.