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Finding the Fourth Proportional to 76.69, 105.83 and 41.72

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Solution

The fourth proportional to 76.69, 105.83 and 41.72 is: 57.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.69 : 105.83 = 41.72 : x
  2. Step 2: Convert to fraction form
    76.69/105.83 = 41.72/x
  3. Step 3: Cross multiply
    76.69x = 105.83 × 41.72
  4. Step 4: Simplify right side
    76.69x = 4,415.02
  5. Step 5: Solve for x
    x = 4,415.02/76.69
  6. Step 6: Final answer
    x = 57.57

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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.