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Finding the Fourth Proportional to 50.76, 76.34 and 46.10

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Solution

The fourth proportional to 50.76, 76.34 and 46.10 is: 69.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.76 : 76.34 = 46.10 : x
  2. Step 2: Convert to fraction form
    50.76/76.34 = 46.10/x
  3. Step 3: Cross multiply
    50.76x = 76.34 × 46.10
  4. Step 4: Simplify right side
    50.76x = 3,519.58
  5. Step 5: Solve for x
    x = 3,519.58/50.76
  6. Step 6: Final answer
    x = 69.34

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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.