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Finding the Fourth Proportional to 76.52, 105.71 and 61.94

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Solution

The fourth proportional to 76.52, 105.71 and 61.94 is: 85.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.52 : 105.71 = 61.94 : x
  2. Step 2: Convert to fraction form
    76.52/105.71 = 61.94/x
  3. Step 3: Cross multiply
    76.52x = 105.71 × 61.94
  4. Step 4: Simplify right side
    76.52x = 6,546.84
  5. Step 5: Solve for x
    x = 6,546.84/76.52
  6. Step 6: Final answer
    x = 85.56

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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.