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Finding the Fourth Proportional to 120.78, 166.14 and 106.70

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Solution

The fourth proportional to 120.78, 166.14 and 106.70 is: 146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.78 : 166.14 = 106.70 : x
  2. Step 2: Convert to fraction form
    120.78/166.14 = 106.70/x
  3. Step 3: Cross multiply
    120.78x = 166.14 × 106.70
  4. Step 4: Simplify right side
    120.78x = 17,727.14
  5. Step 5: Solve for x
    x = 17,727.14/120.78
  6. Step 6: Final answer
    x = 146.77

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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.