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Finding the Fourth Proportional to 120.66, 165.84 and 106.77

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Solution

The fourth proportional to 120.66, 165.84 and 106.77 is: 146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.66 : 165.84 = 106.77 : x
  2. Step 2: Convert to fraction form
    120.66/165.84 = 106.77/x
  3. Step 3: Cross multiply
    120.66x = 165.84 × 106.77
  4. Step 4: Simplify right side
    120.66x = 17,706.74
  5. Step 5: Solve for x
    x = 17,706.74/120.66
  6. Step 6: Final answer
    x = 146.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.