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Finding the Fourth Proportional to 143.72, 214.39 and 127.32

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Solution

The fourth proportional to 143.72, 214.39 and 127.32 is: 189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.72 : 214.39 = 127.32 : x
  2. Step 2: Convert to fraction form
    143.72/214.39 = 127.32/x
  3. Step 3: Cross multiply
    143.72x = 214.39 × 127.32
  4. Step 4: Simplify right side
    143.72x = 27,295.82
  5. Step 5: Solve for x
    x = 27,295.82/143.72
  6. Step 6: Final answer
    x = 189.92

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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.