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Finding the Fourth Proportional to 142.32, 213.41 and 122.77

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Solution

The fourth proportional to 142.32, 213.41 and 122.77 is: 184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.32 : 213.41 = 122.77 : x
  2. Step 2: Convert to fraction form
    142.32/213.41 = 122.77/x
  3. Step 3: Cross multiply
    142.32x = 213.41 × 122.77
  4. Step 4: Simplify right side
    142.32x = 26,199.73
  5. Step 5: Solve for x
    x = 26,199.73/142.32
  6. Step 6: Final answer
    x = 184.10

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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.