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Finding the Fourth Proportional to 76.54, 105.68 and 50.34

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Solution

The fourth proportional to 76.54, 105.68 and 50.34 is: 69.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.54 : 105.68 = 50.34 : x
  2. Step 2: Convert to fraction form
    76.54/105.68 = 50.34/x
  3. Step 3: Cross multiply
    76.54x = 105.68 × 50.34
  4. Step 4: Simplify right side
    76.54x = 5,319.93
  5. Step 5: Solve for x
    x = 5,319.93/76.54
  6. Step 6: Final answer
    x = 69.51

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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.