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Finding the Fourth Proportional to 142.77, 213.89 and 74.22

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Solution

The fourth proportional to 142.77, 213.89 and 74.22 is: 111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.77 : 213.89 = 74.22 : x
  2. Step 2: Convert to fraction form
    142.77/213.89 = 74.22/x
  3. Step 3: Cross multiply
    142.77x = 213.89 × 74.22
  4. Step 4: Simplify right side
    142.77x = 15,874.54
  5. Step 5: Solve for x
    x = 15,874.54/142.77
  6. Step 6: Final answer
    x = 111.19

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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.