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Finding the Fourth Proportional to 121.01, 167.06 and 76.80

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Solution

The fourth proportional to 121.01, 167.06 and 76.80 is: 106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.01 : 167.06 = 76.80 : x
  2. Step 2: Convert to fraction form
    121.01/167.06 = 76.80/x
  3. Step 3: Cross multiply
    121.01x = 167.06 × 76.80
  4. Step 4: Simplify right side
    121.01x = 12,829.82
  5. Step 5: Solve for x
    x = 12,829.82/121.01
  6. Step 6: Final answer
    x = 106.03

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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.