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Finding the Fourth Proportional to 121.63, 167.87 and 72.54

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Solution

The fourth proportional to 121.63, 167.87 and 72.54 is: 100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.63 : 167.87 = 72.54 : x
  2. Step 2: Convert to fraction form
    121.63/167.87 = 72.54/x
  3. Step 3: Cross multiply
    121.63x = 167.87 × 72.54
  4. Step 4: Simplify right side
    121.63x = 12,177.29
  5. Step 5: Solve for x
    x = 12,177.29/121.63
  6. Step 6: Final answer
    x = 100.12

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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.