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Finding the Fourth Proportional to 87.42, 120.63 and 50.07

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Solution

The fourth proportional to 87.42, 120.63 and 50.07 is: 69.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.42 : 120.63 = 50.07 : x
  2. Step 2: Convert to fraction form
    87.42/120.63 = 50.07/x
  3. Step 3: Cross multiply
    87.42x = 120.63 × 50.07
  4. Step 4: Simplify right side
    87.42x = 6,039.69
  5. Step 5: Solve for x
    x = 6,039.69/87.42
  6. Step 6: Final answer
    x = 69.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.