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Finding the Fourth Proportional to 121.53, 167.62 and 86.68

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Solution

The fourth proportional to 121.53, 167.62 and 86.68 is: 119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.53 : 167.62 = 86.68 : x
  2. Step 2: Convert to fraction form
    121.53/167.62 = 86.68/x
  3. Step 3: Cross multiply
    121.53x = 167.62 × 86.68
  4. Step 4: Simplify right side
    121.53x = 14,528.99
  5. Step 5: Solve for x
    x = 14,528.99/121.53
  6. Step 6: Final answer
    x = 119.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.