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Finding the Fourth Proportional to 59.24, 81.92 and 50.15

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Solution

The fourth proportional to 59.24, 81.92 and 50.15 is: 69.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.24 : 81.92 = 50.15 : x
  2. Step 2: Convert to fraction form
    59.24/81.92 = 50.15/x
  3. Step 3: Cross multiply
    59.24x = 81.92 × 50.15
  4. Step 4: Simplify right side
    59.24x = 4,108.29
  5. Step 5: Solve for x
    x = 4,108.29/59.24
  6. Step 6: Final answer
    x = 69.35

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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.