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Finding the Fourth Proportional to 76.38, 105.42 and 43.65

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Solution

The fourth proportional to 76.38, 105.42 and 43.65 is: 60.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.38 : 105.42 = 43.65 : x
  2. Step 2: Convert to fraction form
    76.38/105.42 = 43.65/x
  3. Step 3: Cross multiply
    76.38x = 105.42 × 43.65
  4. Step 4: Simplify right side
    76.38x = 4,601.69
  5. Step 5: Solve for x
    x = 4,601.69/76.38
  6. Step 6: Final answer
    x = 60.25

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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.