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Finding the Fourth Proportional to 133.19, 198.70 and 121.70

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Solution

The fourth proportional to 133.19, 198.70 and 121.70 is: 181.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.19 : 198.70 = 121.70 : x
  2. Step 2: Convert to fraction form
    133.19/198.70 = 121.70/x
  3. Step 3: Cross multiply
    133.19x = 198.70 × 121.70
  4. Step 4: Simplify right side
    133.19x = 24,182.67
  5. Step 5: Solve for x
    x = 24,182.67/133.19
  6. Step 6: Final answer
    x = 181.56

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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.