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Finding the Fourth Proportional to 121.30, 182.05 and 100.85

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Solution

The fourth proportional to 121.30, 182.05 and 100.85 is: 151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.30 : 182.05 = 100.85 : x
  2. Step 2: Convert to fraction form
    121.30/182.05 = 100.85/x
  3. Step 3: Cross multiply
    121.30x = 182.05 × 100.85
  4. Step 4: Simplify right side
    121.30x = 18,358.58
  5. Step 5: Solve for x
    x = 18,358.58/121.30
  6. Step 6: Final answer
    x = 151.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.