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Finding the Fourth Proportional to 142.41, 213.66 and 55.74

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Solution

The fourth proportional to 142.41, 213.66 and 55.74 is: 83.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.41 : 213.66 = 55.74 : x
  2. Step 2: Convert to fraction form
    142.41/213.66 = 55.74/x
  3. Step 3: Cross multiply
    142.41x = 213.66 × 55.74
  4. Step 4: Simplify right side
    142.41x = 11,909.41
  5. Step 5: Solve for x
    x = 11,909.41/142.41
  6. Step 6: Final answer
    x = 83.63

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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.