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Finding the Fourth Proportional to 142.54, 213.84 and 51.23

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Solution

The fourth proportional to 142.54, 213.84 and 51.23 is: 76.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.54 : 213.84 = 51.23 : x
  2. Step 2: Convert to fraction form
    142.54/213.84 = 51.23/x
  3. Step 3: Cross multiply
    142.54x = 213.84 × 51.23
  4. Step 4: Simplify right side
    142.54x = 10,955.02
  5. Step 5: Solve for x
    x = 10,955.02/142.54
  6. Step 6: Final answer
    x = 76.86

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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.