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Finding the Fourth Proportional to 143.05, 214.56 and 51.72

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Solution

The fourth proportional to 143.05, 214.56 and 51.72 is: 77.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.05 : 214.56 = 51.72 : x
  2. Step 2: Convert to fraction form
    143.05/214.56 = 51.72/x
  3. Step 3: Cross multiply
    143.05x = 214.56 × 51.72
  4. Step 4: Simplify right side
    143.05x = 11,096.78
  5. Step 5: Solve for x
    x = 11,096.78/143.05
  6. Step 6: Final answer
    x = 77.58

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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.