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Finding the Fourth Proportional to 121.83, 169.29 and 120.58

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Solution

The fourth proportional to 121.83, 169.29 and 120.58 is: 167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.83 : 169.29 = 120.58 : x
  2. Step 2: Convert to fraction form
    121.83/169.29 = 120.58/x
  3. Step 3: Cross multiply
    121.83x = 169.29 × 120.58
  4. Step 4: Simplify right side
    121.83x = 20,412.99
  5. Step 5: Solve for x
    x = 20,412.99/121.83
  6. Step 6: Final answer
    x = 167.55

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.