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Finding the Fourth Proportional to 50.77, 76.13 and 16.52

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Solution

The fourth proportional to 50.77, 76.13 and 16.52 is: 24.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.77 : 76.13 = 16.52 : x
  2. Step 2: Convert to fraction form
    50.77/76.13 = 16.52/x
  3. Step 3: Cross multiply
    50.77x = 76.13 × 16.52
  4. Step 4: Simplify right side
    50.77x = 1,257.59
  5. Step 5: Solve for x
    x = 1,257.59/50.77
  6. Step 6: Final answer
    x = 24.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.