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Finding the Fourth Proportional to 120.68, 180.80 and 75.04

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Solution

The fourth proportional to 120.68, 180.80 and 75.04 is: 112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.68 : 180.80 = 75.04 : x
  2. Step 2: Convert to fraction form
    120.68/180.80 = 75.04/x
  3. Step 3: Cross multiply
    120.68x = 180.80 × 75.04
  4. Step 4: Simplify right side
    120.68x = 13,567.23
  5. Step 5: Solve for x
    x = 13,567.23/120.68
  6. Step 6: Final answer
    x = 112.42

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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.