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Finding the Fourth Proportional to 120.51, 180.75 and 77.19

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Solution

The fourth proportional to 120.51, 180.75 and 77.19 is: 115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.51 : 180.75 = 77.19 : x
  2. Step 2: Convert to fraction form
    120.51/180.75 = 77.19/x
  3. Step 3: Cross multiply
    120.51x = 180.75 × 77.19
  4. Step 4: Simplify right side
    120.51x = 13,952.09
  5. Step 5: Solve for x
    x = 13,952.09/120.51
  6. Step 6: Final answer
    x = 115.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.