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Finding the Fourth Proportional to 121.52, 167.72 and 77.29

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Solution

The fourth proportional to 121.52, 167.72 and 77.29 is: 106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.52 : 167.72 = 77.29 : x
  2. Step 2: Convert to fraction form
    121.52/167.72 = 77.29/x
  3. Step 3: Cross multiply
    121.52x = 167.72 × 77.29
  4. Step 4: Simplify right side
    121.52x = 12,962.27
  5. Step 5: Solve for x
    x = 12,962.27/121.52
  6. Step 6: Final answer
    x = 106.67

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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.