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Finding the Fourth Proportional to 142.72, 213.05 and 133

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Solution

The fourth proportional to 142.72, 213.05 and 133 is: 198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.72 : 213.05 = 133 : x
  2. Step 2: Convert to fraction form
    142.72/213.05 = 133/x
  3. Step 3: Cross multiply
    142.72x = 213.05 × 133
  4. Step 4: Simplify right side
    142.72x = 28,335.65
  5. Step 5: Solve for x
    x = 28,335.65/142.72
  6. Step 6: Final answer
    x = 198.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.