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Finding the Fourth Proportional to 50.74, 70.02 and 28.92

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Solution

The fourth proportional to 50.74, 70.02 and 28.92 is: 39.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.74 : 70.02 = 28.92 : x
  2. Step 2: Convert to fraction form
    50.74/70.02 = 28.92/x
  3. Step 3: Cross multiply
    50.74x = 70.02 × 28.92
  4. Step 4: Simplify right side
    50.74x = 2,024.98
  5. Step 5: Solve for x
    x = 2,024.98/50.74
  6. Step 6: Final answer
    x = 39.91

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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.