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Finding the Fourth Proportional to 142.52, 213.82 and 57

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Solution

The fourth proportional to 142.52, 213.82 and 57 is: 85.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.52 : 213.82 = 57 : x
  2. Step 2: Convert to fraction form
    142.52/213.82 = 57/x
  3. Step 3: Cross multiply
    142.52x = 213.82 × 57
  4. Step 4: Simplify right side
    142.52x = 12,187.74
  5. Step 5: Solve for x
    x = 12,187.74/142.52
  6. Step 6: Final answer
    x = 85.52

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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.