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Finding the Fourth Proportional to 142.53, 213.54 and 116.82

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Solution

The fourth proportional to 142.53, 213.54 and 116.82 is: 175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.53 : 213.54 = 116.82 : x
  2. Step 2: Convert to fraction form
    142.53/213.54 = 116.82/x
  3. Step 3: Cross multiply
    142.53x = 213.54 × 116.82
  4. Step 4: Simplify right side
    142.53x = 24,945.74
  5. Step 5: Solve for x
    x = 24,945.74/142.53
  6. Step 6: Final answer
    x = 175.02

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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.