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Finding the Fourth Proportional to 142.39, 213.65 and 51.13

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Solution

The fourth proportional to 142.39, 213.65 and 51.13 is: 76.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.39 : 213.65 = 51.13 : x
  2. Step 2: Convert to fraction form
    142.39/213.65 = 51.13/x
  3. Step 3: Cross multiply
    142.39x = 213.65 × 51.13
  4. Step 4: Simplify right side
    142.39x = 10,924.42
  5. Step 5: Solve for x
    x = 10,924.42/142.39
  6. Step 6: Final answer
    x = 76.72

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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.