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Finding the Fourth Proportional to 143.05, 214.04 and 85.06

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Solution

The fourth proportional to 143.05, 214.04 and 85.06 is: 127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.05 : 214.04 = 85.06 : x
  2. Step 2: Convert to fraction form
    143.05/214.04 = 85.06/x
  3. Step 3: Cross multiply
    143.05x = 214.04 × 85.06
  4. Step 4: Simplify right side
    143.05x = 18,206.24
  5. Step 5: Solve for x
    x = 18,206.24/143.05
  6. Step 6: Final answer
    x = 127.27

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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.