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Finding the Fourth Proportional to 50.76, 76.18 and 33.66

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Solution

The fourth proportional to 50.76, 76.18 and 33.66 is: 50.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.76 : 76.18 = 33.66 : x
  2. Step 2: Convert to fraction form
    50.76/76.18 = 33.66/x
  3. Step 3: Cross multiply
    50.76x = 76.18 × 33.66
  4. Step 4: Simplify right side
    50.76x = 2,564.22
  5. Step 5: Solve for x
    x = 2,564.22/50.76
  6. Step 6: Final answer
    x = 50.52

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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.