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Finding the Fourth Proportional to 120.42, 179.82 and 114.22

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Solution

The fourth proportional to 120.42, 179.82 and 114.22 is: 170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.42 : 179.82 = 114.22 : x
  2. Step 2: Convert to fraction form
    120.42/179.82 = 114.22/x
  3. Step 3: Cross multiply
    120.42x = 179.82 × 114.22
  4. Step 4: Simplify right side
    120.42x = 20,539.04
  5. Step 5: Solve for x
    x = 20,539.04/120.42
  6. Step 6: Final answer
    x = 170.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.