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Finding the Fourth Proportional to 121.01, 180.70 and 106.26

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Solution

The fourth proportional to 121.01, 180.70 and 106.26 is: 158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.01 : 180.70 = 106.26 : x
  2. Step 2: Convert to fraction form
    121.01/180.70 = 106.26/x
  3. Step 3: Cross multiply
    121.01x = 180.70 × 106.26
  4. Step 4: Simplify right side
    121.01x = 19,201.26
  5. Step 5: Solve for x
    x = 19,201.26/121.01
  6. Step 6: Final answer
    x = 158.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.