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Finding the Fourth Proportional to 143.94, 214.70 and 121.26

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Solution

The fourth proportional to 143.94, 214.70 and 121.26 is: 180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.94 : 214.70 = 121.26 : x
  2. Step 2: Convert to fraction form
    143.94/214.70 = 121.26/x
  3. Step 3: Cross multiply
    143.94x = 214.70 × 121.26
  4. Step 4: Simplify right side
    143.94x = 26,034.52
  5. Step 5: Solve for x
    x = 26,034.52/143.94
  6. Step 6: Final answer
    x = 180.87

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Why These Related Problems?

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