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Finding the Fourth Proportional to 142.53, 213.61 and 51.14

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Solution

The fourth proportional to 142.53, 213.61 and 51.14 is: 76.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.53 : 213.61 = 51.14 : x
  2. Step 2: Convert to fraction form
    142.53/213.61 = 51.14/x
  3. Step 3: Cross multiply
    142.53x = 213.61 × 51.14
  4. Step 4: Simplify right side
    142.53x = 10,924.96
  5. Step 5: Solve for x
    x = 10,924.96/142.53
  6. Step 6: Final answer
    x = 76.65

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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.