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Finding the Fourth Proportional to 50.88, 69.92 and 42.24

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Solution

The fourth proportional to 50.88, 69.92 and 42.24 is: 58.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.88 : 69.92 = 42.24 : x
  2. Step 2: Convert to fraction form
    50.88/69.92 = 42.24/x
  3. Step 3: Cross multiply
    50.88x = 69.92 × 42.24
  4. Step 4: Simplify right side
    50.88x = 2,953.42
  5. Step 5: Solve for x
    x = 2,953.42/50.88
  6. Step 6: Final answer
    x = 58.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.