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Finding the Fourth Proportional to 142.62, 214.67 and 121.74

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Solution

The fourth proportional to 142.62, 214.67 and 121.74 is: 183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.62 : 214.67 = 121.74 : x
  2. Step 2: Convert to fraction form
    142.62/214.67 = 121.74/x
  3. Step 3: Cross multiply
    142.62x = 214.67 × 121.74
  4. Step 4: Simplify right side
    142.62x = 26,133.93
  5. Step 5: Solve for x
    x = 26,133.93/142.62
  6. Step 6: Final answer
    x = 183.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.