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Finding the Fourth Proportional to 142.42, 213.59 and 55.73

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Solution

The fourth proportional to 142.42, 213.59 and 55.73 is: 83.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.42 : 213.59 = 55.73 : x
  2. Step 2: Convert to fraction form
    142.42/213.59 = 55.73/x
  3. Step 3: Cross multiply
    142.42x = 213.59 × 55.73
  4. Step 4: Simplify right side
    142.42x = 11,903.63
  5. Step 5: Solve for x
    x = 11,903.63/142.42
  6. Step 6: Final answer
    x = 83.58

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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.