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Finding the Fourth Proportional to 76.54, 105.61 and 43.79

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Solution

The fourth proportional to 76.54, 105.61 and 43.79 is: 60.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.54 : 105.61 = 43.79 : x
  2. Step 2: Convert to fraction form
    76.54/105.61 = 43.79/x
  3. Step 3: Cross multiply
    76.54x = 105.61 × 43.79
  4. Step 4: Simplify right side
    76.54x = 4,624.13
  5. Step 5: Solve for x
    x = 4,624.13/76.54
  6. Step 6: Final answer
    x = 60.42

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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.