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Finding the Fourth Proportional to 143.46, 214.91 and 95.13

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Solution

The fourth proportional to 143.46, 214.91 and 95.13 is: 142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.46 : 214.91 = 95.13 : x
  2. Step 2: Convert to fraction form
    143.46/214.91 = 95.13/x
  3. Step 3: Cross multiply
    143.46x = 214.91 × 95.13
  4. Step 4: Simplify right side
    143.46x = 20,443.31
  5. Step 5: Solve for x
    x = 20,443.31/143.46
  6. Step 6: Final answer
    x = 142.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.