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Finding the Fourth Proportional to 50.86, 70.22 and 39.92

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Solution

The fourth proportional to 50.86, 70.22 and 39.92 is: 55.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.86 : 70.22 = 39.92 : x
  2. Step 2: Convert to fraction form
    50.86/70.22 = 39.92/x
  3. Step 3: Cross multiply
    50.86x = 70.22 × 39.92
  4. Step 4: Simplify right side
    50.86x = 2,802.98
  5. Step 5: Solve for x
    x = 2,802.98/50.86
  6. Step 6: Final answer
    x = 55.12

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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.