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Finding the Fourth Proportional to 120.77, 166.63 and 77.12

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Solution

The fourth proportional to 120.77, 166.63 and 77.12 is: 106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.77 : 166.63 = 77.12 : x
  2. Step 2: Convert to fraction form
    120.77/166.63 = 77.12/x
  3. Step 3: Cross multiply
    120.77x = 166.63 × 77.12
  4. Step 4: Simplify right side
    120.77x = 12,849.48
  5. Step 5: Solve for x
    x = 12,849.48/120.77
  6. Step 6: Final answer
    x = 106.40

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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.