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Finding the Fourth Proportional to 120.65, 166.50 and 77.05

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Solution

The fourth proportional to 120.65, 166.50 and 77.05 is: 106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.65 : 166.50 = 77.05 : x
  2. Step 2: Convert to fraction form
    120.65/166.50 = 77.05/x
  3. Step 3: Cross multiply
    120.65x = 166.50 × 77.05
  4. Step 4: Simplify right side
    120.65x = 12,828.83
  5. Step 5: Solve for x
    x = 12,828.83/120.65
  6. Step 6: Final answer
    x = 106.33

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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.