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Finding the Fourth Proportional to 142.65, 196.79 and 121.05

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Solution

The fourth proportional to 142.65, 196.79 and 121.05 is: 166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.65 : 196.79 = 121.05 : x
  2. Step 2: Convert to fraction form
    142.65/196.79 = 121.05/x
  3. Step 3: Cross multiply
    142.65x = 196.79 × 121.05
  4. Step 4: Simplify right side
    142.65x = 23,820.82
  5. Step 5: Solve for x
    x = 23,820.82/142.65
  6. Step 6: Final answer
    x = 166.99

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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.